{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "---\n",
    "Granovetter's (1978) threshold model \n",
    "---\n",
    "---\n",
    "\n",
    "The following code implements the cobweb diagram of Granovetter's (1978) threshold model \n",
    "\n",
    "Replication using the R language By Yen-Sheng Chiang and James Kitts, 2005\n",
    "\n",
    "Replication using the Python language By Cheng-Jun Wang, 2020"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Thresholds  $x$\n",
    "- Frequency distribution $f(x)$\n",
    "- The cumulative distribution function (CDF) $F(x)$\n",
    "\n",
    "Denote the proportion of the population who have joined a riot by time $t$ as $r(t)$.\n",
    "\n",
    "Those whose threshold smaller than $r(t)$ will join in the riot at time $t+1$, therefore:\n",
    "\n",
    "$$r(t+1) = F(r(t))$$\n",
    "\n",
    "Setting $r(t+1) = r(t)$, the equlibirium outcome may be found.\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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zNjcNgSAPTbti0d9AIBAIBBqAwPe///1ioYUWShKHDTfcsHjppZca0OvoYlUEgjxURSrqBQKBQCAQCFRC4PHHHy+WWWaZRBwWXnjh4rbbbqt0XFRqDgJBHppzraKngUAgEAjUHoE//OEPxRZbbJGIA5XFt771rdr3OTo4cgSCPIwcszgiEAgEAoFAYAAEpNc+4YQTkmfFDDPMUMiYyWgySvchEOSh+65pjCgQCAQCgY4gIKX2LLPMUrz1rW8tvvjFLxb//Oc/O9KPOOnYIxDkYewxjjMEAoFAIND1CDz77LN9ya522WWX4m9/+1vXj7mXBxjkoZevfow9EAgEAoE2ICDoU85ZwcPi4YcfbkOr0USdEQjyUOerE30LBAKBQKABCJx//vnFdNNNl2wdjjzyyLBzaMA1G20XgzyMFsE4PhAIBAKBHkbgRz/6UcEd8y1veUux9dZbRyCoHrkXgjz0yIWOYQYCgUAg0G4EJLxad911E3FYcsklC/EdovQGAkEeeuM6xygDgUAgEGg7AhdffHFSV5A6nHjiiW1vPxqsLwJBHup7baJngUAgEAjUFgFRIxdYYIEkddhoo42KV155pbZ9jY61H4EgD+3HNFoMBAKBQKCrEXj11VeLtddeOxGHFVZYoXj66ae7erwxuEkRCPIwKSaxJRAIBAKBQGAQBESMPOqooxJxmH322Ysbb7xxkJqxuZsRCPLQzVc3xhYIBAKBQJsRuOOOO4o555yzmGqqqVIo6gg/3WaAG9JckIeGXKjoZiAQCAQCnUZA1MjNNtssSR223HLL4i9/+UunuxTn7xACQR46BHycNhAIBAKBpiFw7bXXFtNPP32x7LLLFo899ljTuh/9bSMCQR7aCGY0FQgEAoFAtyLAm2KNNdZIUoevfOUr3TrMGFdFBII8VAQqqgUCgUAg0MsIIAxTTDFFMdtssxUPPPBAL0MRYy+KIshD3AaBQCAQCAQCQyLw61//ulhuueWS1OFjH/tY8cYbbwxZP3Z2PwJBHrr/GscIA4FAIBAYFQJZ6jDzzDOHa+aokOyeg4M8dM+1jJEEAoFAINB2BP70pz8V66+/fp+HBY+LKIFAkIe4BwKBQCAQCAQGReCaa65J+SvYO3z9618ftF7s6C0Egjz01vWO0QYCgUAgUBkBtg1bbLFFkjp84AMfKF566aXKx0bF7kYgyEN3X98YXSAQCAQCk43AT3/60+RdMc000xTXXXfdZLcTB3YfAkEeuu+axogCgUAgEGgLAp/73OeS1GGRRRYpeFxECQQyAkEeMhLxGQgEAoFAINCHwMsvv1y85z3vSeThgAMOKP75z3/27YsvgUCQh7gHAoFAIBAIBCZB4Pzzzy+mnHLK4u1vf3sEhZoEndgQ5CHugUAgEAgEAoF+CJAybLvttknq8L73va/grhklECgjEOShjEZ8DwQCgUAgEEhJr+aZZ57irW99a7hnxv0wIAJBHgaEJTYGAoFAINC7CHzhC19IUodVVlml+N3vfte7QMTIB0UgyMOg0MSOQCAQCAR6DwGxHTbYYINEHvbZZ5/i3//+d++BECMeFoEgD0UxWQ/Hn//85+Lvf/97P4AjbGs/OOJHIBAINBCBp59+ulhooYUSefjyl7/cwBFEl8cDgZ4lD6+99lpx5ZVXFp/61KcK4VfL5X/+53+Km2++uTjiiCOKU089tXjyySf7dmPl5513XrH//vun/T/84Q+Lf/3rX8Xll1+efhP33XvvvcXtt9+ePvsOjC+BQCAQCDQAgZNOOiml3n7nO9/Z793XgK5HF8cRgZ4lD48++mjxpS99qVh55ZWLo446qh/kt956a7HuuusWN9xwQyIYH/rQh4pf/vKXqc4VV1yRRHqORxA222yzQv299967uOeee4q99tqr+Na3vlV88pOfLO6///5+7caPQCAQCATqjMDrr7/eT2VR575G3zqLQM+SB9IFZddddy3222+/PtUFF6Wdd945EYt8abgsSQhj35ZbbllIT5vLTjvtlKQTV111VTpGPZKMCRMmFG+++WauFp+BQCAQCNQegTvvvLN429velhJhXXvttbXvb7s6+Morr7SrqZ5pp2fJQ77CyMP2229fZDLx6quvFquttlq/OO577LFHcfTRRxduMJIKEolc8j5GRcK3/uMf/yiOO+64fnVy3fgMBAKB5iGQ3w255571pkZbpGIdqlDVvuUtbynWXHPN4i9/+cugVctGlPAp42Hff//3f6dttvtjD+bP+dX3SQXsT8lt5PrDfTqHYxxPWjJQfX2wgGvti3OzV3vggQeKF198MamXN95442LixInFX//6176F5KCDjx0JgZ4nD3vuuWeSPrgRlWeffbZYZplliuuvv77vFjnwwAOLY489tvjNb35TLLvssv2IgX2IRS5PPPFEYVsnjCe5VOkje47f/va3xR/+8If0AsgPrk/7EKTyNg+fh9BDhfx44Hyqkx/KPL6ykah95eI47eQHVhv55ZBfNnD2XZ1c1POAVynqInFebH/84x/7xmPsxiWYjReAceYxMm6FRR6Teo7P+/M480sv90Nfy3V+//vfFy+88EJ6WeVzu19+9atfJdz1If9+5plnkqrLvvyHXDq3dp5//vlC+F9ZCvN+1yyfzzjUt9+5jDmf3/j03/nsa21He9RsVGvf//73i7vvvrv4yU9+UvzgBz9IqrYf/ehH6f62zT5/VGwM5XzmbVaeXqjsen72s5+l9tjzPPjgg6mOREkXX3xxQZVn+49//OPixhtvLK6++urCCtb3yy67LP194xvfSL+/973vpXPbzubopptuKr7zne8Ul156aerbLbfcUlxyySWF+tq2/7777kv7qAONx5/v7Ix8J+nTT+PSJ8doQ//1ST3nY8fk86KLLkptq3v22WcXZ555ZnHBBRekc7JxIoncd99903N88MEHF9ttt13xiU98Im3/+Mc/niSTMk1SUZ522mmp3pFHHlmwd2IvYDwkkIcffnhqW36IQw45pPj85z+fVKTqHnbYYcWhhx6atttnGzVqeZvtzu/Pdsf4s11/fH7mM59J5/3sZz/b16Y6tjvmYx/7WMFjglqVKnWbbbZJ34855pjUhm32s/1yzJJLLpnIw4orrph+22Ycn/70p9Nx2oHNDjvskH47x4c//OFi8803L3bZZZfCWD/60Y8WJmNSWjjZRw28zjrrFFTAJLm2b7TRRsUmm2yS3r8wVt/fVltt1fc9t+Fz6623Tn+OJR02lk033bRYf/310/Z8nE91P/jBD6ZzUy3nbT71wXHzzTdfCr+91FJLpTEvsMACxX/913+l+zK/A+JzcAR6njx4KD7ykY/0sU0v7w033DC9SDJsXiYnnHBCmvDcfF/72tfyrmK33XYryhbJ6nnpeaF7cY1XZDaTkgdmueWWK1ZfffXi3e9+d5KgvP/97y/WXnvtYq211kqfq666arHSSiul37blPw+xh4qLlgfVA5kfdmP2YvC33nrrpYd99913T+eDHQLm00sivzQ8sHD0CT8vGy8VLw4PvnP47UXk3OqR4vjTlpe0dg866KD0cvMS88L0wtF/41pjjTXSGEmD8p9oeFIHG2ces1UUaZKxGZPjvSQyLup5Ee24446pH85rYiCRUsef47SJWKqvTX9LLLFEwbDsXe96V9rvReQFvNhii6VP+3Md+5w7t+MF7Totvvjiqf4KK6zQdy7jUN9+3x1nDMirF7Hx88GHgX2OXXrppdO5cnvzzjtvMcsss6Q/IYZ9n2uuufr+3vGOd6SMifb5bhxzzz132jbrrLMWU089dTHnnHMWs88+eyExkpftbLPNVgge5HP66adPQYSmnXbadJx2ZpxxxsJv330KMqSdKaaYophhhhmKmWaaKR2nnjbyb3Wcc+aZZ07HOM6f/fpAlG6fOrZNN910hUyPtmlnwQUXTH2cf/750/c8Tnjpr+PVMT77XJNFF100tT3HHHP0YaKOfcsvv3zC3rG2qZvbzviqB3PHwxqGsDIJOQ+PBedX37HOa1tuR5uusT9tuWfsz9vcR9rUd5+5Dddh4YUX7sPcOW3LddSDvz7ALo9BX41FP/RZu/D0qb7rSergWtluG2z1SX3t5PruJdfXsfrtuXCvureN2XiMwz3u3vTnPvYs+a6e+9dv97Nt2oGJ/rnf3I/asM97LfdJ2347J9zdA/pjbLA2Zv2Gkf3ac+9lnNTVb/ec8eY/vz1XkT20b3ob8kvPkgerTKtiqwWs1ySfV79f/epX08RhQn7ooYfSDX7XXXclIK1yMN+HH344SSBMpo8//njaZ+XIC8MqzErinHPOKc4444y+1feQV2KUOxlt5ofBQ6SPJmoTrpWB39g2IuC3ybv8Z7vJ3sPsIZcQx+RYZu2+m7wdb1+euHwiHkiASdl5kQUTLkLhReFl7MFELpAc27WFpNiXX9a5nj54OeiHl4dP9RGYcv+trEz0xmLyd16qKGTAOTIZ8hsZUM9Y/ZXHr09eYq4nYqRd26zMEByrM1g6zv68IrPi82d1ZuVIQvXFL34xfT/99NOTVIpBrjpIERsZK0YrOJ+2a9+59B0ZdQ/pq3MhUQiUxETOqw0E1f2VpWb64jdSa0Wpjjbd21bA+sVDKK/ofVqFu5et8PMf0pu/n3vuucXJJ5+cVtEkCfZp31+uox0Sg3K7vuffVuFW9Op4DnzP+0gOSCFIAmzL7eTvfudt+Xz6S1rht3r5j9QBUb/jjjvSp++MmUkxSFdsz5IJ+/xlCYvvpCQ+1fNcP/fcc0ly53n2/P/85z8vSJI85zyv7CcV8kfKI221ej5zW9ojrVHHsaRADKq14TsJJUmPtvyRFD311FPpmLyNFItoPffXcaQw+ujYvM85bbNPnUceeST1w37j9Fu/9SVLl+DiuPxH2uS5NZEiLaRG3nm266uxacdvx9j33e9+N+EMA1hZMJGO+U5CRyXgt/coKRmJGemf3963pGZ+5236Z8zGok3SOW04Vtv64M92kjjn0Tf90S/XieTVtYDFL37xi7Rfe+4HWLgm2kAQEJNMHHwiLo6JUg2BniUPxNr0eyZVk5zVsZeZQvpgErAKtjr2IiXSV4jq/fZSN6HkY+zzciPGdONTXXz7299OL3UPzVgXfZLExkNgUtLf3Gef+k1V4DP/9r38l8X6ROLE/Pqdj1EPucrqDaqArA7wIrDfPsfm9uHoeG15iWhPHXVtz+ezr/ynnja9HPJ2LxDtUSXk9rWT1SC+2+4v18nnKO/zfbA/7VPLON6feq3FtqyCad033O/crnrlNnzXrr7n7XmM+Xc+Rhu52Ff+nbcPtC3vi89AYCAE3PsIu/cHgtvNxbsFGSdhydId4yY9RFKiVEOgZ8mDiRAjxcitDDBYE1Qu9mPpmOxAZaAgUVh/ro/5Wq1pY6yLGz4/+B4CZGg8CMtYjyvaDwQCgfFBwIKH6sP7g8SoW8tjjz2WpItTTTVVIkmkFCSmxk2yiURFqYZAz5KHavA0oxbxOBbtAfBHt4e8RAkEAoFAoAoC1J7ZJoV6pRsLgsReyTuS1JiUlAqEusI2tlKkElGqIRDkoRpOta1Ff8iQLhOH/FmORVHbzkfHAoFAoBYIWIB4d7BrMql2W2GHxkCTXRiVciYJPHQYXBo7u6qy9LnbMGj3eII8tBvRcW6PURmrdJbSHgKfRHIIBZuBKIFAIBAIDIUA2xnGtyZQ3mfdVqgmSBW8F7mWsrVSjJuLarYV491BOhGlGgJBHqrhVMtajAl5K3joGQDxROBhkLextI8SCAQCgcBQCDAe51LpPdJtEksxP7h2Ig6M4DNxgAdbsTxuY6fuFcMkSjUEgjxUw6l2tbBmLnhsHfhfMwSyeuAhQhpBPMdFkttXlEAgEAgEBkPAu0NsBBLMbopxcOGFF6ZYFeJfnHXWWSm4WxkDwc/EDEEc/IkLEZKHMkJDfw/yMDQ+td3L/1lMBDe9WAHc83JENa6RJBD2iWUQerBxsDYAACAASURBVLzaXsboWCDQcQR4iSEP1J7dsvLmNi/IFUIgxsdARTwWiy+kSdAyJAORilINgSAP1XCqXS0BZYjjkAMBWZAHAZEEF1JYTIvYJppaDnBVu0FEhwKBQKDjCAjjLVqnqI7dIKlEHJAhNgwCfw1USBhykCjvTapeUTRzwL+Bjolt/REI8tAfj8b8ElSIO2bZKBJxEF0xFxHm6PzYRkQJBAKBQGAgBE455ZQkpXzve9+bAroNVKcJ28TeYddgwYQ4iMw5WJHTJBtKiqRK5SuseI7TM9hxsf0/CAR5+A8Wjf8m5LHQxFECgUAgEKiCANspUXSpOEXNFZW1iUW/JSg0Dp5mwlUPVhhNktiqi2gIsy00vHwX3aK2GWzs7dwe5KGdaHa4LWGpgzx0+CLE6QOBBiEgpoOcMybS888/v0E9/09XRdOVzVPiLJJXeUKGKjKxIgrGLDIvDOTHESQrVLxDIdd/X5CH/ng0+hfJg6RRkdug0ZcxOh8IjBsCwufLvkmELxdP04oEWSQnjB4lkJObZrgi/DbiwFhScCxFMjqZWodSdQzXbq/tD/LQRVc8Z1nsoiHFUAKBQGAMEZBlkqEg127i+yYVtlwy6SICglvlqJFDjUHOoqyykAGY15qCeJA83HbbbUMdHvtKCAR5KIHR9K9UFlJjy8gYJRAIBAKB4RDgmig4EjdNqaqbUqTO5ppO4iDcdNVEgNJ+80JDOKSIz+W4445LGTbLBuh5X3wOjECQh4FxaeRW4juGP6G2aOTli04HAuOOwM0331xMO+20ye07r8LHvRMjPCFVy5prrpnUDmLclKNGDtfUmWeemaJNUll885vf7Kt+2GGHpTgPsixHqYZAkIdqODWi1lZbbZVCVDeis9HJQCAQ6DgC3/nOd9JkKttkExJi8aJYaaWVkoqBW2YVG4cM8htvvJESf5E6kFiUbTwYm88222zFI488kqvH5zAIBHkYBqAm7d52222DPDTpgkVfA4EOI3D99denFfxuu+1We4kl4iB+A/sM0SFHqp4VTM/xyMPKK6+c0nFn+JGHcNXMaFT7DPJQDadG1Npuu+2CPDTiSkUnA4F6IMA902TKVVHMh7oWUoKll1465aKQvIsUYaSFlEXWYePNXha5DXYTXD1D8pARGf4zyMPwGDWmBoNJmTWjBAKBQCBQBQHRFU2m22yzzWRNyFXOMdo6pCM8QuSquOSSSyarOXZg0m8b6zrrrDNJJMn99tsvBYyKIFHV4Q3yUB2r2tcUICXIQ+0vU3QwEKgNAgcffHCaULk81i26JEnIlVdeWcw777zFu971rlFl/JT8a/75509jPf744yfBH7HgcTJUZMpJDurxDUEeuugGIHos57booqHFUAKBQGAMEKDrtxoXYK5OBXE455xzkjRAzo2HHnpoVN3jZWGc7CUGkl7w2kBQXn755VGdp5cODvLQRVd75513TrrLLhpSDCUQCATGEIF99903TaqHHnroGJ5lZE1L+oc4sE/gWfHEE0+MrIGW2mI3bLLJJmmciMirr77aUqMoqC1k1hyJ98YkjfTYhiAPXXTBRZiU3CZKIBAIBALDIcDocNNNN02T6jHHHDNc9XHZz4OCHYbYE2ussUZB3TDa8uUvfzl5lJA87LHHHgN6lSAPgkdJ1R2lGgJBHqrh1IhaDCY32mij2ho+NQLE6GQg0CMIWOFvv/32iTzwNuh0YdR43nnnpRwTq6++eiEY1GgLMkIlgzjI38FTY6By+OGHJ8IiaVaUaggEeaiGUyNqET1y1xyp/3MjBhedDAQCgbYjkNUWVt6dLiQEjBY/8IEPFD//+c/b0p3XXnutWGGFFRJ5mGuuuYoHHnhgwHZPPPHE5KoZBpMDwjPgxiAPA8LSzI2XXXZZseGGG4berpmXL3odCIw7AtnbopPkgZ3BKaecUsw444wpAqT8E+0qQm4vscQSiTxsvfXWg4ayzim9w1WzOvJBHqpjVfual19+ebH22mtXThJT+wFFBwOBQGDMEODRILIkkT6vi06U119/vfjMZz6T+iDLZbskDsZCDUKiwMNizjnnHDJrqMRY73jHO4rHH3+8EzA08pxBHhp52QbutEQvIXkYGJvYGggEAv0RKKenPvXUU/vvHIdfbC4QB0mqqFt/85vftPWszzzzTLHgggsmYnLEEUcMGUFTuGvhqW+//fa29qGbGwvy0EVXl+QBe29Cgpsugj2GEgg0EgHqgvXWWy9Nrl/4whfGdQx/+9vfCqoCUoEtt9yy+P3vf9/28xsTqcoiiyxSDJctE3lgb3HHHXe0vR/d2mCQhy66sl//+teDPHTR9YyhBAJjiQCVAeNEE+xgXghjcX7EgWuo82688caFhFXtLogRFa5ziH9DyjFUEVdiuumm65dpc6j6sa8ogjx00V1wwgknpLjtHs4ogUAgEAgMhUCZPFx66aVDVW3bPrElhIKmqthiiy3GhDjo7E9/+tOCdwXywBhzuHLWWWclV84LL7xwuKqx//8RCPLQRbfCSSedVHzwgx8c1KK4i4YaQwkEAoFRImB1zkbKBHv22WePsrXhD+dC/qUvfSmdb/PNNy9eeuml4Q+ajBoMQQ866KB0nsHCUbc2G2qLVkSG/x3kYXiMGlPj4osvLgRXGQv9YWNAiI4GAoFAJQSI8mXTRB7kdhjLgjhY3MwwwwyJsLTbOLLc9z//+c/pPWhcokY+++yz5d0Dfqe20TcZPKNUQyDIQzWcGlGL6I2eL9QWjbhc0clAoKMIWKGLSmuSnTBhwpj1hcukAFDTTDNNsj945ZVXxuxcGp44cWLynDCuT37yk5WyhZKIyKVx0003jWnfuqnxIA9ddDUFiXr/+98f3hZddE1jKIHAWCFgUhe6eaiwzaM9N88vbpJyVfCqGCtVRbmfRx55ZCJExnXNNdeUdw36/bTTTivmmGOOZCsxaKXY0Q+BIA/94Gj2D3EewlWz2dcweh8IjCcCVtyMF6kU2l1IQBlHkgBssMEG45LuWmKr1VZbLZ2TFFZGzSqF2yi1RcR5qILW/9UJ8lAdq9rXRB64PjGEihIIBAKBwHAIyMRrcqfybGf5xz/+keI4aJvE4fnnn29n84O2JSOnc/qjKqlaPvGJTyQJTNg8VEUsXDWrI9WAmhdddFHKqhnkoQEXK7oYCHQYgTfffLPYaqut0kTbTm8Lhpi8F0g0EIextnHIML788svFyiuvnMbz1re+tbj22mvzriE/qW/EgmCTEVk1h4Sq386QPPSDo9k/2Dysu+66Bf/tKIFAIBAIDIVAOc5DO8nD5z//+RQ5UrrvV199dagutHUf+waumaQO66yzzojsKw477LCU2+Kxxx5ra5+6ubEgD110dZEHEeMiPHUXXdQYSiAwRgggD2uttVbbJA8kGQwPeS3IVfG73/1ujHo+cLOSYGWVxRlnnDFwpUG2snlYaqmlxr3Pg3SnEZuDPDTiMlXrJObNSCjIQzW8olYg0MsIMGjMIZzbIXk4/fTTk6pio402GleJQ76Gu+++eyIPCy20UPHoo4/mzZU+jz322GLuuecunnjiiUr1o1LYPHTVPcBHmeThtdde66pxxWACgUCg/QjIqikirdX6aAwmSRys9CWW2nbbbdueHbPKyL375ptvvjQWsSuGy2XR2uaBBx6Y+n/vvfe27orfgyAQkodBgGni5iuuuKJ497vfXbz44otN7H70ORAIBMYZgT322CNNuFJjD1aGm4i5eYqpwNNrPG0ccn8l1lp++eXTOKhMvvOd7+RdlT/ZPMw222zFww8/XPmYXq8Y5KGL7gA2D0svvXTx3HPPddGoYiiBQCAwVggIS03ysOOOOw4YifHb3/52ceqppxbCS7cWpOK8884rZpxxxmSg2Kn3zvnnn19MNdVUicCIKCn51kgLtc3ss89ehOShOnJBHqpjVfuaAr68613vGjef6toDEh0MBAKBfggwkhSDIZfjjz8+kQcJslq9tMQ8YESIQAhl3Vrkg+DeuOqqqxZPP/106+5x+c0tfdNNN01jWHbZZSf73cdgUhTMm2++eVz63Q0nCfLQDVfx/8dgFbDKKqtEYqwuuqYxlECgnQicc845KZ9FtovKQZUk1CurHBgcWogwQiyTjdwXxGKWWWZJks6f/OQnefO4fz744IMprDTpyS677DKg9KRKp/bff/9k8/DAAw9UqR51ijCY7Kqb4LrrrkurgKohWbtq8DGYQCAQGBaB4447Lq3Ss4HkJZdckkT+9P0PPfRQOp6LJS+Mt73tbQPaANxwww3FvPPOWyyzzDJFJ4mDzpIYIA5vf/vbRxVaGnkQnvquu+4aFsOo8H8INELygA2y5m0Vqw12EX/wgx8UZ5555mTpvgZrswnbr7zyykQeyiuIJvQ7+hgIBALjg8Cdd96ZSMGCCy5YPPLII4kczDrrrP3yOnzhC19IE7KQzTwpyuWHP/xhMf/88xdrrrlm8fOf/7y8a9y/O7+U28gDCUlrX0fSoay2+O53vzuSw3q6bsfIg5Cg2QiH4Q0jl4HEY7/85S+L973vfSllbNWwy0RurG+/9rWv9dTFPeWUU9JDXZVk9RQ4MdhAIBBIE2xOw7355psXP/vZz4rlllsuTcBXX311IhTzzDNPsfDCC09ixyB0M3dIHl1PPfVUx9Hk5YE4CEV96aWXjqo/1DdzzTXXgJKWUTXcxQd3jDzcd999hdSp0rWa5A855JBCkpbDDz+84HqjIBf77bdfMojJOrqq14Lf7zbbbDNucdWr9mss69FnyqoZ5GEsUY62A4FmI3DjjTcW0003XZp45aDI+S1Id/N3kttyIc5/5zvfmewgOq2q0K8//OEPaaGEPLDzGm3+DHMRCUzYPJSv+tDfO0Ye/vznPxc//vGPi2OOOaaQRvU3v/lN8cwzzxTioVM7KMRqGPDk+O06HhlpfQiGhqPZe4VnXWmllcJgstmXMXofCIwpAiZeCysT75xzztlncLj44osnUkGy8NJLL/X14Z577ilEbfQutuirQ2F3kQkQd9OBvEFG0k/uqMb3i1/8YiSH9XTdjpEHqNPNExcJk4ooUFtwN2RBq5BIrLfeesUf//jHvotEr+XG+epXv5rIhgeBHo6+X1a1cjn33HOLHXbYYVS6sHJ7df9Ob0ddM1oWXvdxRv8CgUBgdAggATkiIxJR/iMNzsW7WOwY75W77747b+7opzlA7gx95hHSjgmf5IER6JNPPtnRsTXp5B0lDyb7CRMmpEAj++67bwqr7MbIthAY5W677daPVQqpSjfH0vfCCy8ssGKMmXFP601kn+MHsqVo0kWq2ld+15FVsypaUS8Q6G0ExDRYYIEF+hGHd7zjHcX999+fgLntttuKRRZZJEkd6kIcdEz/9BN5oOZuR+F9ItjV9773vXY01xNtdJQ8PP/888VHP/rRpFoQ4axVckAqIXwq48rWcuutt6YbJ9tMDFTnpz/9aSHiGDJiPzLBmvaOO+4orrrqquKEE05IrkYSSZFyuIF8CtXKZ1j9JhVuVx/+8IdHHNe9SWOMvgYCgUB7EPBOpNotSx0sthRhmgWIEniJh0ZdisXjxz72sdRnhpJC8rejXHTRRcnj5Fvf+lY7muuJNjpKHoQzNfnzojCpl9UT0P/Rj35U7LTTTkmtMdDVOOiggwoZ3NxQAxUrcaJ8hXpDFLU55pgjsW1+weKg81Bga7HGGmskCcaSSy6Z3H98No2FUvmEweRAd0JsCwQCgYEQoJbgZYBAiBbJvsziigcGA8msQh7o2E5ss2gUf0J/JeFqVwZhqm/tWoBFqYZAR8mDSVs2s6ymaO0yox2T4UC+t9/4xjcKqg4JTS6//PJ+qg3tMMhkOcy9SHEO7kV0ff6IvjwYCAsGTupBEpL/BFoaLiFMa387/ZuNB//rdj1QnR5PnD8QCATGFgEu8htssEGajBlPfv3rX0+Lp/e85z19QaPGtgfVW/c+3nnnnVNfRbccaF6o3lr/mrfccksKNEUlHqUaAh0jD+I3nHbaaUlHz8XQpD1QYchCYvDrX/867TbJi8fOFxlp4KUhDgQikYOWuMk+//nPJ9XD5CRJGagfTdjmwZeS+69//WsTuht9DAQCgRogkKM0Si5FGrviiisWjz32WA161r8LFnwIDqnDAQcc0FZDeMm12Dwwxo9SDYGOkQceATKYMcq55pprCiFRByo8Mrbccstk+MiYUrwHpIF4CXEgYaD3orPKBASLfO9739s4m4WBxj+SbR4AtiNNk5iMZIxRNxAIBNqLAFd5ya1MyiSXTzzxRHtP0IbWSI733nvv1EcJrNo9ycuqSZVdJ/uONsA2pk10jDyMZFQIBPVDVSkCUiFyWq8V5IENSNVInL2GT4w3EAgEJkWA+lhshyWWWKJgZF7HYqGZpQ6bbbZZ8ac//amt3eT6j5SEwWR1WBtBHqoPp7drksAI/jKYAWlvoxOjDwQCgVYEHn/88RShURyHukZXZJPGOJ5kZNFFFx2T0NgkDwxGeeFFqYZAkIdqODWiFu+SjTfeOCQPjbha0clAoLMIUBnzqBAEqs5u6bw/Zp999kQe2LYNZmA/GjSFBeD6GQaT1VEM8lAdq9rXPPbYY4vVV189DCZrf6Wig4FAZxEgZRCOmW1YnVW87LfEniB14Eo5Vnk1xPdBHi6++OLOXpgGnb2nyAPbCTnrGVaOVLQvWddgCaeE1+bpQC/XyXLeeeell8Hvf//7TnYjzh0IBAI1RoDEgX2DhcbTTz9d457+X6yf2WabLZGH9ddff8zc0NmLyZXRrqBTtQa1TZ3rGfLAffHjH/94itEunLVoklUL4xy2BDlhV+txrJVFYxNwqpPFjc/wKWcl7WRf4tyBQCBQPwREjiRxkBOi7nkcylKHmWaaqRDbZ6zK6aefniQbkjVGqYZAz5AHejJxIDwwkqrkyJNVYCKxYEsg4mVr9ja/5c4QgKocIZNbKa8HUgnntk/gqXIAJ1IQIbKvv/76tuTf4MJqNTHS9OVVMIg6gUAg0GwEeBIgDuuss06tbRwyyohOzmGhz4NJfnP90XyKNcSbI+f1GE1bvXJsLciDSRSrzOleTcaiP+ZJUIAoEz+rW5O1mBDiO/D1NbELaMKoxs1GdE8SoJ72WM+2Zpk8+uijUyrw8kV2jmuvvTYdL9+9dhUhqsVSZ+XLB3rrrbcuvv3tb/cdSleGWOyzzz79mLyJXHRMRIVOkaGPtLbZ4EffhIAVFtunPiEcoynf/OY3U5CoMkEZTXtxbCAQCHQHArwqFltssULkyBxwr84j8/6Wl4itgz+h98eykBpz1RSeO0o1BDpKHpABky9R+8orr5wyZSIR4jSIVyAUqdgOF1xwQVI3XHfddYlAHHrooSkYknTdJu1DDjkkxTlnMUsct9dee6VASWeeeWax4IILFuKhlwsRlYyduRCPmeRFqkQ2ZGqTpdNkTgVAXSG196WXXpq+l/WEiI/sdHyPy24+ImEed9xxiSxo381JZ+chJpFASBAJqcjp2xAIBGg05bLLLosIk6MBMI4NBLoQAaJ4uXokuaqzV0UZegadOWX4rLPOWtx+++3l3W3/fuKJJyaDyfI7vO0n6bIGO0oeBH5aYYUV0uQrjwXRlCybWKd9oiWSQph8ZddklKgQ9SMIREyOERENgZA2FhkxKSuZFEycODH9zv+OOeaYlBMj//ZJUkDyIFnXlVdemfJikG4okmrJVjlU5DU5Os4444xyk0mVwc6CykKfkCDFg8H1iGTiQx/6UGobWUJCRlOQJdbTWWIzmrbi2EAgEGg+AhYkiAOpZ1NE8ozZt99++yRxEHvBYs+7fCyLeWPKKadMC7mxPE83td1R8nDqqaf2TfRAZY8g2pliot5vv/36bAHYKJjcFTeTJFDEb4KHuNk+/elPJzceN4F8GLlIOStcdblIpsWtMRdqENIMEz31gX5xD8rkgfRBiu4c/po3A6lJuSAPX/7yl8ubksvkRz7ykUQakANqFYXkwioASWGMSa3CBYl9xGgKAsRvO2M4mrbi2EAgEGg2AtS68847b5La3nXXXY0ZjPdkjiYpueFY2jpkUMwbU089dUF6G6UaAh0lD1bixPe5EOGTLpA8UAdQSSjE/JtvvnlfhkyTNP0+8oA0UC+Y/IVWZY+Q9WOYtkRROWGWCd/fpz71qX4MEykh5chkwUROUpAnc+RB+lcqh5tuuikRlhwq27l9l4gLqdFGOTEVQxxSBg9Bbg+LRnCwazk5xGynoikflzEZySdvC2ob0pMogUAg0LsIULUiDiSzZTVr3RHxfs62DvPPP/+4pQSntpAUrJ2ZOuuO9Wj711Hy8OKLL6YJlNskvdxaa62VVvzIgxveal3QDheWiN8EbXL+4he/mAgCo0oTsMmSKyWvBcaJVBpUCMgH7wNZOInyv/CFLxRbbLFFsoN4//vfnxJusUtAMqhLnIvdhE8SDeoNahP9sY2xJBKDQOQiqRcpxQc/+MHUB5KGsksR4mEcrTHTtcsYc//99y8mTJjQlvS3spSynYBrlEAgEOhNBLyf5pprrmKllVZqFHFwtdg2ZKkDae9YqyvyHWKOYTBpDolSDYGOkgddlJqbyF9O+YMPPrhg+6BQRVjJM2RkAUt3x+4BOZBRk8gfeWCISMWBgLB5UH74wx8m1QPJxKOPPpqkDLwn7Gc86QbRxoUXXph+kx6QTghN6jx+qy/DWpYwaJfaInthpBP9vz0E7w4kgfohZ/rM+31STYzHQ0C1s8oqq/RzGS33I74HAoFAdyPg/Sbc9GqrrdbP+6sJo+bSTnXMu4L9gXf0eBV2dM5Joh2lGgIdJw+66aZhlDhQserPpfw9b4vP/yBAwrLiiisOmt78PzXjWyAQCHQbAhY/PBNIW7Oqtklj5GY/88wzJ/KwzDLLpIXYePWfxHmqqaZKi9LxOmfTz1ML8tB0EOvSfzYPVh3PPvtsXboU/QgEAoFxQICnFtsq7uYkoU0r1NQ8QnIOC8ae41kkFRQGu9Wtfzz70LRzBXlo2hUbor98lPlGMzyNEggEAr2BABXu3HPP3YhcFQNdEUaSn/nMZxJxQB46kRkYeZB4K3v0DdTP2NYfgSAP/fEY11/sINh8jNbLIneap4oocuGqmRGJz0CguxFgdM3AkAH4L37xi0YOlm1ZTrkts+VXv/rVcR8HV03EhVF+lGoI1J488EpghMguomph5DjSrJnaZlPB80Iky3w+4jRstNVQskpfBIfiZVHOeVE+TiCsBRZYoG2GQRHnoYxufA8EuhsB7w/umIwjm2jj4OpYOAmUZ+KeccYZk5F8dmkfz6uXyQNPvijVEKgFeaCjE3tB8KYciCl3nyjealpSqqpF6GmulSMt3Dm5XAo1jbQo4kZsuummk9WenBuMl0gXBiq2E5e1S81AfBlBogZCOrYFAt2FAN3829/+9hTHoakSB1eEbYNU2MiD2DpUGJ0opB2CRJXd7DvRjyadsxbkgWukCGgmaW6W5SIWu9DQAjRVLepjkuVCkkB6kEM359/ZFZPUwffsdlk+1g3OXdQxZVasPfXd8FQQvmcVBNdNUgeJrxxLopGDUJGKWDWY7I13oERWyBJCJfhVXlVon1jttttuS6GsRcPM+T70NyQP5asW3wOB7kRAHIe11147LXKakORqsKtAosy1HHGgrpCQsFNFML8ZZpiho33o1Ngn97wdJw8mRiFBrdIlo8r51MVGEIJaLAbxGcqMNE++REyiTXqYSCwwcNvckOJGiB+hbcTAfuRE4BTHiOgo5rtoZjlgE0MdkSZbk7CY6I866qg0ke++++5JJ4csSJQlqRe1BlLiWHEphLvWd4GrllpqqRSYyvcsPeGWimULLkUyof1yEWtCIi7RMwVKESVTLAsxMPRXFMmddtop9Wndddct7r333nS4aJVyWzh/lEAgEOg+BEhUifc95zkmTlNHKY7PFFNMkciD952w/50qkhNyE+0kgenU2Cf3vB0lD0JQm8RFfjTpmszzBMvd8IgjjihEbBRdsqzOoEqQItvkK7AUQmAyxsIF+SB5kCiL37CbIUsVqAeoJBgYCWEtEiX3HP3QPimAqJStei9t0isKf60NEzZCQ1IhtLRJWyFdoPbQD1IKMdpFrvztb3+bpAvZDiP3xzHIQDn3Bja+ySab9GXYdAzikfN1OIeQ3tmOAkHKx5N0LL/88hGeenKfhjguEKgxAqLZzjTTTMlGoOnu2N6liyyySCIO88wzT8cDWlFXUFvk5Is1vg1q07WOkQeSBCL5bJtw3333pRV1q9qCXYDJOovuIXfSSSelulQTyAaL4/LqXSTKwRikUNBCTysScWmjvFJHONQxweci7HPZApjkIsdA1xfxFRQTvwhpWTUiAuaWW27Zp67I7ZU/kRUvhVzk1aDqKJMlDF30SAVxEgwqF+Qpp9nVzhJLLNEPq1wvPgOBQKC5CHi2LXRIIcvvhiaOiJragoi6QmAm0R3LkuVOjInaQgbPSMldHf2OkQerdqJ3InqFLQERPRJRLuwKiLSEpc7FBGuCt8q3j4qCCkEx6ZNISAyjUC+Ub0x2AkOFIKVuoD4pF2FSy6FSEYwcTERujDz5OyeykO0ojE1WT4WIMYfPLrdN8lAmPmwlqF3YL+RCuuA8CvuL/N1v5CGrWcJVMyMWn4FA9yDgvSJ+i7w6L7/8cuMHZsHH2BN5IH2oQyI/704qFDmRolRDoGPkwSRfTrONEKy88srFAw880K/nSAXVRdlg0oSZV/sqm8hN2kT5WC3ywHaCuuDwww9Pn0iEm5TIHzmgfqBayMV+k7527ddWDpmNuAj9SvohVwbikiUhEqpIHW5SJ0WgYmGDYHziLWDYiAf1jPwbuZBcUK1Qh6jjnHnsUoIjRNKGIxcMJ6029N+5JBCjvpCjg5SC+kXmUZ4bvC0G8+7I547PQCAQqD8C3iEmNRIH760s0ax/zwfvUUes4AAAIABJREFUofezZIaIgz8eduXF3eBHju0eNg9yW5AqR6mGQMfIg+4Rt5s4GSOa5D0gbiYPCSNGoiTbTZBUDfT+CIF673nPe1LWS/YGJmaTbF7xIwBsKEgmtI0k8FRwLscxONRG2cuBtweVgzoMJ9kq8GxwsysmZG2RJJSJC0NGEhSqEjYOMnH6y32hhkE23JSMQBX98VKgDkF8GFxSvZTVJznZF4+M7KWhD+waHCNzpt88L6xMkB91hafN9hDpZPEvEAgEGomA9wM9vHdZXsg0ciClTnvnI0OIA/ss7+U6FHMLl9FsP1aHPtW9Dx0lD8Cx2qbDZ7TIW4IKgNXt66+/niZcYUuxQrYRJlxqDJO0VTeDSjEd2ATIaJkLxm7y1XY2UvRpwqU+8Occ6uXifAwd1TGJq9PK9BECK/zWggxkKYZPE3knCskDyUd2F+1EH+KcgUAgMHoEeJkxjmT83foeGn3rnWkhG5sjDiJKktbWpZx55plJ8nDBBRfUpUu170fHyUPtEWpQB88+++wkeShLVBrU/ejqOCKALLO1IblrcpChcYRs3E5loSTmAHuubpEiut+22mqrPnUFNW158TZu4A5yIobzSE2rp90g1WNzURRBHrroNmDIyW21LIXpouHVcijUayRh4pRMjsTJC7RdOl/teEmXC7HwQOSAyov9DBUeNVuUeiDA8FtabcShWyQOkOVRwbPCBF3HlOGktrwtyirpetwR9e1FkIf6XpsR90xALEGpmu4DPuKBj9EBJnZqqPxpci6rqJyWoa9AYYx4s01L1e6oz/uHim00hQU++xwibvY35X5I1bzFFltMQiDyqo8qkL1OlM4jYOISAIpBYbdIHKDKOPwd73hHIg5i+SDbdSsWXtRE1OFRqiEQ5KEFJxNEu1aCLU2P+CcJAk8NLp/ZAHOoRiK3xVDojHyfuB1ikTCe5S5L1CqJjwBjuTCwyp4+eVuVTySENw0xadmOhk0P19uBrjd1lJdcq7sessi4WD9lVyzbvCAJVlWDGd0JjpPdiav0O+qMDQJUFXPMMUe6Ft1EHEi9lltuuUQcFl544b6YNGOD4uS3KoWAENmnnHLK5DfSY0fWhjzwKJDBMhs4jtV1IF4ebGXuhc591ESRE2ONVT+Ga9fEJRrmRhttVHjo9Gs4UoM8YPZE0lFGjwBPGwa8a665ZnL95bLL44ZLbi48X0zaZZWF+6g8+TO+zR4z+TirMZKC8nbX12ROksEVl2tuWYogBsj666/fL+ZJbs8nAsHDqNwX2z1T2267bQr1Xq7vu0kryEMrKuP7u2wcWb7e49uL9p/NvZ0zZorrkOPhtP9Mo2/Rc8wLpM59HP0o29tCLcgDrwirN3EeuEoOpKNt17C9sAfz5bVKMxEIxtKqO27X+VvbMWFkd9C8z+TjZl5nnXUS0TFhieUwHLEi9lxmmWWS10huKz5Hh4BJnBgZGXBfiuHBtTYXJEBckfKETRXAZZY3kNDrCy20ULqnsiuuthiP8SIql6eeeip5y1iBIo0iq+bQ5+qRRLk3B3NvYzGOPLTeT46lS/eMlaUStms/yEP5Kozvd/cAcTn7k24iDt5rVGliJ7BzQF6He3+NL/L9z+bdOe200xbhbdEfl6F+1YI8iO1wwAEHpAiMXrREs0MVN2bW2ao30MuS+JdrUM6CqQ5faeJb5EG8iPKLlEhYICaSCSvF1mJyEP1y4sSJhRWgoh9iLDiPB8Okwv2oLIZubaf827E5rgR7BSXHtxCHYu655055LgSmqiIJEbp6/vnnL4TFjtIeBBBbRMA94wXo/igX9664IOUXI5LBlsHLSIAzq3v3dPaC4Q4simhOApfbc48Kdy5AGILgPiTtYNAooJh4ISLyISsCh1GjkNblwuV5vfXWG/D+c69RaTh3uZBWmbjKxX3NDkNgNFlbu2lSK4+z099Z+IstYEHTbRgbG1KEOAhcVw7y12ncBzq/dye1hdgaUaoh0FHyYLK28vHyZYHL1dBNRmQvGqMw0lZpJm0vVSszhREY0bEXOyteL0wv6EwoiH4FIFlsscWS2MzLXBwJFsysy+2zqqdzzitGk/eGG26YpB/aLBftevmbRMSWF+HRBE1C4IVNlCwDpqyaglBVYa+CRyEIHjIhsfUJFs5lhUnyYL+XeHliKver9TvXO+QrZ9ls3R+/R44AyYPrLbeJhGWIXLlYzZNM5Hsv72N4teKKKw6Yh0B0UqoJgclai9Xarrvu2rfZZM8Yk3TApyRCpBZ+I9yimOYiMilSMlB2QqHRSTIy8c3HCIPOyDI/B7YjLcTNXvoM+JCVMtHOx8bn5CPgWTe5ytLbTV4VEPH+zYGgkIdyOP3JR2xsj2RbNv3004e3xQhg7ih58JISIdGKirrAhKkgDAzJqDEEbjKB5gnaflIFL1IieuGhTewIiJem1T93RZEYGbO5iU3wJmDn23///VPeCC9Rhmf5pe/l6LfzIhmIQS5uLGoDthL0eM6NsPiunpWi1ZuVo9WaqJhDFStQ6cHL4m+GOltvvXWfXQNygtyMpEjqYrwD5dAYSTtR9z8IIK4kDu4P92FrpD/ZXKkYWgkedQayMZDEyP27wgorDKhfFenOszBQofZAAFoJTK6bn4PyvZv3uTdIuVr7g6DLKVM+BpHwLCDrSy+9dDJ40+co7UEAsZTZF0nsNlKGbC+44IJJ4oA4WHANZmPWHjTb04rnwzXJeYLa02p3t9JR8pChJWVozYLpZWXlTb2gWM2XJQIkDR4+L21qAgREXSmys9+6yZyutyxq9qIcKrIZwqGOYxUvVasweuxcvLyRGWTEfoQkn8Pqn5RkqOI4Rng5/bi6JhsqlfwSJ1UZacASxMVqJh6AodCvvo/43jVCTAezMzD5sjMoT8pUZe6BZZddNnnLICDaysU1RjYHIpmuOdXEySefnIwz2Uwg0wrC675pVUuZ7D0PDGy56rKRQXjzORFk92g5t0rui/vOC36g8RHl8n0neSiPLx8bnyNH4KabbkpuiyRHWY018lbqeYQ02+55pMEfKS8y0YRiIWfh1ToPNaHvnepjLciD8NLlzJLAQB6s9jN5oIui1sjFy5K+VrEaJMIl7kciypnRiHWzXzFCIH9FvqGl5G41jOQWWV75efEiE1aEuVCtkDZYnXmxc+fL/dSnsjV+Pqb86WWPKKjnpaxfJgmrWC98fYIHvTYVTuuqttxW+TvyMPPMMwd5KIMyiu/uJ9fove99b1JJtU7ammZLYCIoi/3dc+5DHjLuDZN26+SrLZKmVuNgKg3tkWb45EKWCSVJF0lb60Tv3Mgt0kwcTsWiX+5dx1pVIQ8DuQCyLmeE2apzd88hI8gD6WCU0SOAaM4777zpfdJtxME96T7KxMG9U1apjR69sW3Bu5PNw2DG9GN79ma2XgvyQNwqMVS5WJ2btHOuCTYKeeXkpUg3nK3VuSbKTuklZyVFzGyCJy6T68FLXDFJMzJjZ+BmYaiUxbFWi252L15SBW1h0s7l5ctXmX7Yqt6kTo/nBeuFQH9NFEkC4oXPaHE41YHgQnTlxohIyOGBjCAPbCCImIm9BfApG8WVMWr9jvjQiZclGq114nd1BFwLqjD3iGszEIkjqaLmKpMH90yVYpVDetZKBhxbbq9KW4PVIfVAuvN9nushM+xuEBiEurWwARIRUICpVoLdWjd+D4+ARQX7EfYl3Wbj4L256qqr9hEHZDvbpw2PTD1qUHO734eTGtejt/XoRUfJAx2u1RIrcCt5EoP8gjYRe7FisFZxEmCxM/AyZBtBJObFh1xYdRE5kRg4jqpCe4zHtGH1ngu9tRW+h7hMWEz2JB3EySzbWdFb5ZEseJF70SIejuOXbWKxnW+9jJ5EvHllKE7EQMZwuQ/5U9vOi0jklamJx6rEStCnNp2rSqGOgUOrFX+VY6PO5CGAqCG2iGa+hiNpCelkzDtWxfMw0P3j3nW/eBZ4VJSLZ2SBBRZIuusstSvvj+8jQ8DExHMKEes24uB9bPGUJQ7e0VUXOyNDcWxrk/TyfMkL1LE9W3e03lHywFiIbp8IlyqByLb8ohMkx6ofiyUZ8LIjTbAaJFlQ3wRsVcgOgXFlXvUhFdzcMhkpXy6i3GzTkLd7mXr5l8+f9+VP+1qPy/vq8GkiEowlG57WoU/d3gf3HnKLWI4lCRgvHD1bVCZSQZcNesfr/N12HhIHSa5IEVs9XZo+VgsfRu2ZOFDJDKTaa8I4ueCzF7MYjFINgY6Sh2pdjFpVEbAKQB5IRqKMHwIIK2I5FPEcv95M/pmQea6DJgOSt2xrMfkt9vaRFkYkOGuvvXY/6Wc3oEK6yZXXvSIQFKPbVglWk8ZJdSj/BiP9uO+rXbkgD9VwakQtK4HZZ589fJUbcbXq10keHiYDga2oO6JMPgLUWeLMsMVqNYqd/FbrcSQR/+KLL94ncZic3C71GMl/eoE8zDXXXMl+qc7S5f/0uPPfgjx0/hq0rQcMlxh2CqIVJRCoigCJg2RfDPq4JbcaV1ZtJ+r9HwJUsJk4UK12S2GHxRvBJJtVFfLudMP7hmpcnAe2cjkqcbdct7EaR5CHUSJrhcZAiHfIQPYVmlfH/lZ3uFGeepLDGYYyJBXhLUogUAUBqyxBz0wGXpw5/0aVY6POpAiwxWJA2G2qCu84xuKZNLDjYKBuvN1Q2KNQMYkyHFK3ale04+SBoSKPgmzoqNu+s/gWeGlyLNirDf0/tXg1YNQm3ZHorfWTG6gofAL7cLcsjyOfQbjonXfeOblk5ngQeV87PxkreQAY/0QJBIZDwEtSQCkTgrDrkY11OMSG3i9ujMih3Ba7ReLAgJZburD3mTjk6Kje3d1SGNvziGEsHOSh2lXtOHngGSAqJK+JXBisiHUgp4CkU2NdnI+/vhXYYNKDwfpAn8mrg3smf//ByIebU1yJ1pdKdgXV/kDEY7DzDrSd3o7aYqgImgMdF9t6DwFEQTyUKaaYIhmJdZsnwHhf0XvuuSdFVxQjpgnhmKvgQ5TPVT6TBp+ijZZd36u004Q63s8WXpEYq/rV6jh5ENTJpCsQTdlQBfsTNdJLLrtR5mF50d15553JNdNk7SZn2Vw+XnRAdagLykUdbfJfN9nm2PIkAgKEOK+4C44tM2v+2SQTwgcLFFXep30RLz1YZfKAGPDxdoxwwQJI5QePCoOkwsuGgZqkWmJJjKYYj/CwXDajBAKDIUAnLy8MzxyxTELHOxhS1bbzcvLcCWM+lpLFar0ZfS3vNvEOSFMzcTCx8sDp1oBh5gQB9iJIVPX7p2PkwSQrOqMMgXSEIiqaRPPD5wYWaEnURImtBGLKUghBoDysgkuJjicj5XzzzdcXcVLAHjpHk7XojXkyFcbahM06WGRHkdCck2qE6kLuDGF9ERrn045iv2A62uTT79zEvWWiIIwwyUKZVCAbolEiItojzhS7QvEgWvnpG0kBP3A55UdT4CO6pYBVUQKBVgRI2ERlNREwdIs4/q0Ijfy3hYZ3j3gHJqCmF4sq70RhyTNxEKI9L3qaPr7B+p8NJhkOR6mGQMfIAxG9B49fLXsAE55Jtqy+IHmgDqAaEE7ahO04dRALQUkY8WhH+mPfWYqbiK32qSCEmRYBkMEP9ykZN02yVv5sKoSjJn1ALBCNHGAJgaDKUEga9DFHh0Mw+DWXjYUQGuGmM3nQR4GDSEQUUgER5rLbFlKBxEijjLQ4PrefDpiMf+xEllhiiUnyhExGU3FIFyIgj4X4/SKv5kRuXTjMcRuSd4VYB9wx2Ts0uSA+3sFlaYMU1SL7DpQTpcljHajvyIM4DxaqUaoh0DHykLsnit1gQY0OOuigJHlQ14SPEOQAHiZjoVDZGygYM1dFvz3QOWa/8NQebjEQEAsTuhU/0sLGIYeRto+dRSYvxHZybiheukJW54IgtEoK5Mugtsh2Cx44kg+6NOX5559P5yV5oDrx4uEvjdzItEei4TyjKV4A73nPe5L0ZDTtxLHdhwDRuudC1s0gDqO/vp5bLoveM01dlXuXiopqgUZ6giyQNgjTvOSSSxZf+cpX+t5no0es3i14T0slXs7cXO8ed753HScPiIOsmopJNRssmoSlLM6qChHNZLbMkzNbBuI1EoNyYZAoGRZ1B0JgsubtQMUg1LUJmj2E8NW8E7ThGHpfia8yOZEYKLs8kjwgKtpTHCsNcw5HrE8eNHk6cv/UO+KIIwrtUHuceeaZSTriXCQMZRsHfZPoK6cSL49nJN+52RGfDkbGRtJW1O0eBKjk3L+zzDJLSKXacFlzHAeYepc0rZC6kp6StLJ7yeoJn37zPONl0UsFeSDJtogrv8N7CYORjrXj5MGELSEW1YEL57fiN0bsQTW5sg2QVhi5sMKmbhDTwARNXJ+Lyf/YY49NqZSpHXxnF0Gi4LtJX305CagUqDqoH6hFqBFYTZMs6NOmm26a1AyIhTbYNDAw8z3rxiTlYvDJy8HErQ6VBFLD6prYzzmk3BaAhx8xYsO4iiUz1Qx/aXVGuyJkLwITRCZKIAABL0Kkm1eF+zLK6BDIxpGkl00jDlQrVtZrrLFGki6USQP3SyJ7EtpenDypk0mSvI97cfyT81R0nDxYxbMnMFGbTLMaQpx0263ITcLsHYgIMWareYaW6vPLzQaRGQAeE9QIhx56aPJRzvpIxECiGsaLsmd6WNg2uFlESSMd8PCQFND/XXTRRX1Bc7B1bbq5GEdmzw5tMnhU337qDuew2lMQD9IGpIa0xHcWy6QYJBCIDOlIOyzeESLGnNQvUQIBCJC6zTrrrMmrpxd012N51akqhGVed911G0McvAtJbS3MeBOUCcO0006bFj4WQN3iXjq5158aXJyHo48+enKb6LnjOk4eIJ6zZAoWlUtWYbj5ffdJGmFiNxHb5jMbKObjqnw6th2TdZVzjWcd7DnCU48n4vU/F7shiYt4NkWZfASoTxdddNFkt1R3iYPFCWkqdTAVrrDjmTSQQLGLMklaoHkXRimSbRq1BVu4wKTaHVEL8lCtq1FrOAQYjPK2IPmIEgiQbBFHMwTr9ZXlaO4Gq1ITroyjdZXeWAx57vfYY49kID7bbLP1EQbEIYvkSU2zEfdoMOm2Y2FC8kB9PDkL0m7Do8p4gjxUQakhdahAuBuFzUNDLtgYd/PRRx9NWVZb44+M8Wm7qnmqRjFo2AnwmKpTIYUVi4Ytl5g35dgMXHK9C8SmIWWgui3HpanTOOrQl0weXOtstF+HftW5D0Ee6nx1Rtg3agsx6FlLRwkE2AJRWQiMFmXkCDBgZtjM9qrTqgoTP5smCwRG5XvttVciNDxoskrCpyBxDLhFtkV2qHujDI8Ad1s2IbALycPweKkR5KEaTo2oxXhzjjnmSC+ORnQ4OjmmCDDgNaFE4JuRw0xqI+Gd/DrjTRwYcLMD4wqew9vz1BIVlPFrmSz4TldPusS1XTC8KCNHgIovRzoOyUM1/II8VMOpEbUYdS222GJ9UTIb0eno5JghQP9tcgkbmJFBzKtCQC0if/YOY1FIEqxwuXSLrCumDAmRIHYkHYjLzDPPPAlRQB7YsfBO44nGs2q0Lt5jMb6mtUlKI2w7L7xw1ax29YI8VMOpEbU8ACIIcr2K0tsI8EySu4UoNrs/9zYi/xk9qYLcMibt1oKAW+FLUd6aVK+1bpXf7BJIEYTQp0YSn8a5SRIkxZOgLEd2LEsU2CwgD0iMuDLiywhyR7LAKy08AqqgX71OtnkgvYlSDYEgD9VwakQtQaKI3nJkzEZ0OjrZNgSsZJEGxQQpWqAcLKH37g+xPDJTTz11IgnC2ufCnkDeDzlo6MDhCTvPFWKOBAhQRz0odoIItSQTsuGK8yJ6rWdP8jGh6U361B5cPMvukmWS4Pucc86ZwkELCY1QnHLKKal9+RZyVNvcx/gcGwRcb+ofgQhD8lAN4yAP1XBqRC0GVRJ/5Zwcjeh0dLJtCAh0hixY5VJVmJhElRTR1Mq1HEelbSdtY0Ne2mK3WK0jQdwiuZiSnFAlyEMjNgE7AIHi8oQ9ceLEZEQoV4w8MaIoigArzoGgbaeddloS8ZvQ995775SnxooePhLqyZkjqR2XVts8Q4LP8bAgvWGEyNXRMRJHzTDDDClCI0Iw++yzp2RjjhvqT13tiELLHVCgOtfm4osvTjEZEBN/oW9v4w01gqZImZA8wbTCK6UacEEequHUiFpetlZOOVdIIzodnWwbAibTqaaaqlhzzTXTxGR1LXeLSUtm2fGUQCACROvCwgtaJA7BCy+8kELCy24rNLyVOmNOE7ww7oz+RJHVfzp/MUtM2m9729vSBC0i4lATtLEb81B1RrKPp4r62uTVQJKDBHCJRBqoN2zj4UTNIUCbPovyinywSUDipD43XqvbuhO4tt2MDWvIvYk8SqSIwEYZHoEgD8Nj1JgawlwLn+tlHKX3EDBZW9Ga8GaaaaaUz8J3E5wVe7sLMkJCwGCPuB55IeEQd2CXXXZJybjEH7DatsJHYvLka/U+1ERO5480mLQF72EI7HhGbSQAyNAGG2yQcsWsuuqqxeqrr562D9VmlX0ICJsEETlJcoSvlyOHCoGKgpqDZEdANqH1qTFI/EhLkHfJ6RhBhk1Cu++2sW1POgGSJiQQ2Y0yPAJBHobHqDE1vNisiII8NOaStb2jbB1MtnmidD8Q87ejcFlkUCiJnHT2Qh8z+OMenM832KfVOk8BkQ/9ERHzGpAKevnll082ApLHMShk8Cv4kTwwJm0rdq50JmviZRM0iQYRv0kagSHZYOyWpQX64TvipH/lP9IM5GqgviIhdY0i2Y5rGG0MjID7h30KlVVIhwbGqHVrkIdWRBr828vW6iwshht8EUfZdfeACTlPnozvJqcwFjRZI6QMAKk/rP4Hm3RJA7x8Za11/0kyRxohYBnRPTJg5Z7/EBHJ5hgitmOyZg+BFJQJAZLCDoJELp/XJ0Iig666JBwCAyFCiIaxRuk9BJBTIcjZuAR5qHb9gzxUw6kRtbyIWWyH5KERl2tMOknkKvogAsGOoKqdAz2vFyjPARIAJID1eWusAWoH7p/rrbdeUk0gB9QVJAKkAZ3SF7OdKBOHTAyoHloL48usPmEsSXpBmoFUhLqhFa3e+M1V033NZizIQ7VrHuShGk6NqJVTchP9RuldBEzi3AurFJP+ySefnMgCe5mBjBIRUlIF9Xg+IKl18wogeWBsyXgRcSAJQXwEXGKPkAsVCDsMthMXXXRRx8hO7k981gMBUjYGsFtttVUiwfXoVb17EeSh3tdnRL3LuS1EnYvSuwhYOTFcPOmkkyYx/qKOsMJGMHk30PGWV+wMBr1EN99880I6bx4RVAwISaeKPlcNEc1F03g++tGPJjdIIbozeUB8GG7y5EA2ogQCGQGqM8/CdtttVztinPtYt88gD3W7IqPoT86qadKI0rsIfO5zn+sjBNJIi5Vw7733plDG1BGtBo50/QwFTbjiJJioO6V+GOiqicwocqr7mp3EUAVpQh422WSTfioI3hHsGrhRMiqNEgiUEeCqSWrlHsmB1sr74/ukCAR5mBSTxm6xomRpb8UYpTcRoLulZihLE9wTrYaOJAzbbrttccUVV6RIiXV+YQp6ltNNi8B4++23D5r58MILL0xj33HHHfvqSDBF2iD6KoPSKIFAKwIIs+cG2Y4gUa3oDPw7yMPAuDRyKzc6FuZHHHFEI/sfnR49AgwE80RbJhC+kzhIMU0yYTXfJH/2Qw89tI8Qif0ghPQFF1yQjDypNXK59dZbU1AnCY4UMShIVVjS8/iIEggMhEDZYFKcjijDIxDkYXiMGlODOJZfvyA9UXoLAeJ8+Ra4HbaSBlIGpEFOhoG8L3gYsAvItgFl5ESKdAxPDJ/qUmmwgVDfd8ZmiCtf+dbCsJJImIskl0nBeJAWnyZ9bfjUf9IPrqEm/Lz64wXBPoEHyEDRI9kwkEbstttuxfe+972EAQKdQz+TushAGTkiWq9M/C4jkMmDwGMD3cfluvH9/xAI8tBFdwLdtuA73M+i9AYCJmReA6utttqAkysigTyI0WCiFUVP+Ge6XXkeDjzwwBRVTxRIBmNW7Cb7XOSFeNe73pVC98qbIU01IsIfXn2qD+JeXhpEvmVywtjS+dhUcI0UJIrqgN2BP5O+PrFPoFbgISHyJMkC9YNyxhlnpFgMU0wxxSSkqJUk8a5Anm1HojwLxikKZJRAYCgEPEfveMc7kvtxnex9hupzp/cFeej0FWjj+bnnedFzqYvSvQiQBlgpHXPMMX3JnPJEKkOjiI0IQ95mYt53332LT3ziE0ncL34/10sEAOnwKa6/yXubbbZJER0zehJQsR/YZ599UvAn6gMhsNX79Kc/nfKoSDiFDJxzzjn9MhIK6+xcXCgRDscgBcitjJPa5dUhAJVshrYhMfrKTkEheSBFENRJO6zh/SEGeXz5k2Riww037AsWte6666bQ0Xks8RkIDIYAN3f3P4PigSRwgx3Xy9uDPHTR1WdRbhKIrJpddFFbhiLXwoc+9KG+KJImTqt6gaFER3QPkBaUV+qf+cxnWlopkjsaKYE/YloZHakOJidIkpUaNcRQRZ2BVnSIULkMJzK+7777krQkZ8CU/4IEg6eIYFXf+c53Uk4MOQpgESUQqIKAe58kTXbVsg1NlWN7tU6Qhy668vTKUgbL5lfHYqKgK/fXOmm0o78e+smZ/Npx7rFsw7juvvvulE+iHPHRBEptwPixXKzk82rcp8RRgiM1vcipQbRsTFQhAkDxvMjXXLZOkTWpZdhhRAkEqiLASFKuFRKuTsY0qdrfOtQL8lCHq9CmPmSDSSLgOpZLLrmkoDe3SiSOrlrkSJDJcLhipUmEbnWqWOlahR9yyCGVgwwNd47x3v/kk08mY0DShUwIkAaYELW2FpNmq6um49gONLUgmrKCkjIIYCUQVGusBgabmTgPiXhpAAAgAElEQVSExKGpV7pz/RYkSmhqxLNJXkidQ6wogjx0Ev02n5uVOne88bR5EKpYYJ4jjzwy6bJJPSZMmNBn8FYeokncalH+hKqiQRkh6cLLK0kRFFnWEzWWCwt9SZi48TH681t/BH8RA6NJhTrhhBNO6Jchk56fUSKPhMHKVVddNaDhJG+FphY6aKoJL/fHH398kmGQyjDM5HERXhWTwBMbKiDgncL+R5bYkSxsKjTdtVWCPHTRpZWngMGkkLzjVbzYhTom8qNvFmfAZM84r7UwsJNueaBC9NwqLhRue7PNNitEzswFIZApkfcA/b9VZusKnEEfIzvFREtsLzRxEwrSAENGgVnSwPhxnXXWKeAxVLFC50GRjyt/2t7kgiA8/fTTkwwBqaSrbs1hMUnF2BAIDIEAm5/lllsuGfi2voeGOKyndwV56KLLz9sCcx5P8gA+wXcY8VETIDB33nlnQUXRWg4++OC+jJ/E8dQXrPdNltz1TPJZ5eBYkgqEo1xMFpLX0P1zG+SKJ65F2YaCioOlvRXEgw8+mFatTdD5CyHNo0CaaBM/VQVJAylLlcA1Jldi/UwaGE1yffSbuqhKG2Ws6/7dvYZU+fM9SiAwuQgw+CV54KpcfpdMbnu9cFyQhy66ysT4HoAzzzxzXEeFPMhUePnllxcf+9jHUpCfgR5AYbNPP/301DdqBd8F8SEtEfWQxOCBBx5I+0kipH0Ww6BcSB5Y1RNTmyyJG63WywXBMFkKivSDH/yg2GijjSZRcZTrd/q7/nJflAI7T/xWQTfccMOIupaTQom5MN100xXTTz99uh7iJiAkVDrdUkijuJu6RxgKRwkERoMA8mDxUg5rPpr2euHYIA9ddJXpe/n4H3300eM6KuTBg+e8JAED6aV1yP6vfOUrfX0jKhQ2uJUgqMCACQEYaMJjLGi1OZg/thW2eAGSPLGZEEtgsLp9nenAFwQJ4XLNMmkQq0BMhaoptXO3s12AdkRURJioO8ReEIjJdpiJFNn0QgUlfTjLePdJlEBgtAiIhOq5YTBZ5zwvox1nO48P8tBONDvcVrZ5GG9XTfpo4na6QiGSB0ufTA1hMssFebB6HMiTwsRKLXHqqafm6n2fAg2ZCEkhlPyZKyAv9OAMSEkpGNLVrbBf0K9yPAaTvERVVY1Jy2PipkjCgHyI7HjYYYcVU045ZfJS2GmnnRJ5mGuuufqphcrHN+W7+4ukCkkVUTVKINAOBEhK2RlZdAwXs6Qd5+uGNoI8dMNV/P8xWHGbNNkWjFfx0HmhM2xEBoYq7BfOPffcVMVx7B5IHhAK3hCt0oHDDz886fxb2ySNEEmRvURWd5QtpBllehEgIKQadTIWhBEVRQ5yRCJA1YTwTa5NAlsTBoPaQrisnGSPJNXw/eyzz077RJJssuSBGsd1J+Uazni09Z6J34HAUAh4hthSiTLZaoA91HG9vC/IQxddffp/L9ZWI8OxHCLx+h577JFiCzCAtNofqCALvDC4EiqkFCQRQhY7Xkji1nTJfhMltraJKBx11FFJbC2yojYz8RCjHpHhDqocd9xxyZYi/ejwPyGXRT40yfsT8Iidx2jdCxmZ5pwOVDqthX0JQ1pSDp4qTSzsV+aff/6kjinn3mjiWKLP9UPA+0NSLAbHcX9Vuz5BHqrh1Iha1BbyGBxwwAHj1l8idp4MRMgSELUaL+aOYPY8MsqTV57w1aF6QDBai/ryI1QN/MNA0gSaVRnIw3hKYlr777fVv9DRVjWZOCBNPEFGW+hqGXmJuMggtayvhXkuIjEiKmVvlryv7p9iiVDpMI4sS5jq3u/oX3MQ8B4jeSC5iyBR1a5bkIdqODWiVk6MZRKpW8nk4dZbbx1x10gWRBicnHL88cendM6Tc2w7jqGaIQnJpEGURKqW4XI4VD03adNZZ52VwlfnYxAnHjeCZbVKc3KdpnxyX2VQGjYOTblizexnNphkH1Qm3c0czfj0OsjD+OA8LmfJ5EHcg7oV9gcy1hENygY51npFKgIJwqwkEIjxLiZwthnlUNHsO3iAjHXx8uOJgLA0OUkaL54lllgi2fFEWu2xvmt6u30SU0bYXMDL0rveRmXo0Qd5GBqfRu2lOxcfYDxtHqoCRCVBb804UprnsbZopu4gzj/iiCMqqzyqjmW4euIOiHcxzTTTpAkcgeCiOrkGkcOdr3U/rKl6kIeBXF1b69fxd3bHZOTZlOigdcQx+lQNAYSBmya171gvbKr1qP61gjzU/xpV7iFLet4WA6VgrtxIVBwVAhMnTkwvoKymoKunuhjPQuqBODGQnFx1z3j2t/VcVC3vfve7U+CxMF5rRSd+jwUC1BYko/PMM8+4LzbGYjzj0WaQh/FAeZzOgTwQjdfJNXGkQ2e4RP1SNqYcaRudqk9VssACC6QVP6mDkNt09p0oPFgQGO6aTSpifrBxsAoMd8wmXblm95Xt0Oqrr57UjCF5qHYtgzxUw6kRtUy8cjrIQIhJN7HI48Bdim1EU4IAUUcwWiT1MWFbNUsS5np0qsiJoS/60ZTCxsHKz0s8clU05ap1Rz8ZMLOPWmqppQYNctcdI23fKII8tA/LjrfE5mHZZZdNluntsuYfz0Gxg0Aassh/PIwLRzs+ScB4AuQ+ewF1WkffRLWFXBVIVwSAGu0dGcdPDgJltUVTFi2TM852HhPkoZ1odrgt4n7MmfShiWllTz755BRSWVjlI488svZWzyJZ5uBMyAM1xWgDPrXjFmIw+ZGPfCTZPORgWe1od6zakDZdyGnEqwnZT8cKh2i3cwh4ZnbYYYf0PFeNKdO53tbjzEEe6nEd2tILol6W/RtuuGFHReaTMxhpueVeMAmzsB8u1PXknKNdx1ilIDpSZuuvAE0HHnhgrQIYieapb1dffXW7hj0m7dx1110pcqRrHu6YYwJxNFoRAcHkhI3/9a9/XfGI3q4W5KGLrr/8EEIei+TYpEAnIggSWZvshCAWJbKuhVHqfvvt15fQinGf6I11KlZRQoXDU1bRuhYJzEgcqNqaHsyqrhhHv6ojgHCL9dBElW/1UbavZpCH9mHZ8Zay5EGMARNIEwqjQiJ2E920007bl/uijn3nNoiY6as/rl11nPTYPHz4wx9OfWSAWsfCCyUTh07biNQRn+jT+CMguqQ4D3VQPY7/6Ed+xiAPI8estkeI+y9I1EYbbdQItQWCI+U20mAylhmyrl4i3AbLhpFeNGMd6Go0N9qECRMSplKS16088sgjxUILLZTSH5M+RAkE6oCA9w9CG/lTql2NIA/VcGpELXYCxP88FjrpJlgVrDvuuCPZCyAOsk3WNSCQaJVImX7OPPPMxZe//OVaEwf4y0Qqpbkso3Uq7lHSG3Ecwqq9Tlcm+rLLLrukOC1htFvtXgjyUA2nRtT64x//mFZz2223XV9Wybp2/JVXXulLT73IIouk0NV17Ks4CTnwE3uM008/vfbY1hFHfRJES2pwicLYuUQJBOqEAMkDg3PvpijDIxDkYXiMGlODGoAeXjbFOhtM6qecE1bys846a/Hd7363dhiT3Jx44onFDDPMkPq5yiqrNDKddV2AFQ+DJTs3Yrk/ogQCdUOArZiFzIsvvli3rtWyP0EeanlZJq9TCAN7B1bDdTaY5JK36KKLpklZXxn41amIGLnPPvsUb33rW1MfN95443ihjOICZYnDeuutF/rkUeAYh44tAoceemhSo7LJiTI8AkEehseoMTVMwuwdZFSsK3mQvY54kNRhscUWK+pmMGfVseeee6b+SSwl1PfTTz/dmHugbh3lxkoUjNTW1aalbphFfzqDwF577ZXIQ93eSZ1BY/izBnkYHqPG1Hj99ddTPnqR+urqqywHhElZQKi6xSCQEMckh9j422abbQqYNrGwGL/kkks6aluAOMw555zFpptuGmmOm3gT9VifeSi97W1vKx588MEeG/nkDTfIw+ThVsujZKLktbD99tvXThUAMKt6BnMm5rqlDScRgVsmDptvvnkh30JTy9lnn53Gcvzxx3dkCAJ9Lb744smrIqzXO3IJ4qQjRIC3xfTTT1/cfffdIzyyN6sHeeii657VFnUNT/2Vr3ylmGqqqYr55puvePTRR2uDvFU6KQPiQCryiU98ovZ5NYYD77zzzktjOfbYY4er2vb9Vm4Mz7baaquOSj7aPrBosKsREKxuttlmK0TqjTI8AkEehseoMTUEWGKUVkeDSf79K6+8cpqg6xQBk8sguwbEgefHSSed1MikYq036cSJE4tpppmmIIEYz3LjjTemlOoMTknCogQCTUGAB5h3wH333deULne0n0EeOgp/e09O8rDlllsmP/q6uWpeddVVxdRTT13MPffctRELihpJH484CP502WWXtfeCdLA15AHep5xyyrj1gsvtHHPMkaQ4f/rTn8btvHGiQKAdCOyxxx6JPIS3RTU0gzxUw6kRtbLawoRYN/Kw22679Ukd6gCm1YVQtIiDSVbwp24qN910U5I8nHnmmeMyLMSBquKggw6qffTNcQEkTtIoBLw72Twx8I3srtUuXZCHajg1opbVntTGQv/WKe8CY8TVV189TdR1mKS5YkmAgzhYKcuvUTeyNdobLpMH3i1jXW644Yb00j3ggAO6QuUz1nhF+/VEQL4aRr68rqIMj0CQh+ExakwNk/Qaa6xR8FfGpOtSRBQUFIpq4J577ulotxCH973vfYk4sKwWfrobC9sDNg9jTR7kJ5EG3j3n/osSCDQVAfFxqFUjrku1KxjkoRpOjaglpLIgUVaAdSp0iMSBwhM/88wzHesayYzwyCQO/nbffffaZvEcLUi8LYxxLMnDLbfckkjhfvvtVytJ12ixi+N7EwHeFqLKuq+jDI9AkIfhMWpMjZwYi/itThEmuWVanQoM1SkXzb///e/F/vvvnybUt7/97SkzJry6tVDFIA/nnHPOmAzx1ltvTTYOJA5vvPHGmJwjGg0ExgsB78sdd9wx5bL5yU9+Ml6nbfR5gjw0+vL17zxXzbXWWqvYZJNNaqXDp7ZYeOGFi3nmmaf42c9+1r/T4/CLOJ1IMkscDj744HE4a2dPcfLJJ6fxfv7zn297R6655pp0LQX6CuLQdnijwQ4gwOZp2223Tao+Ac6iDI9AkIfhMWpMDWL5lVZaqXj/+99fWGnXpZhgxJ+ggx9vmwcvBbEbBH9CHvbee++e0M1/4xvfKKaccsq2u2qypZh99tlTIK0333yzLrdY9CMQGDUC1BY8r4I8VIMyyEM1nBpRy8t8hx12KJZddtnipZdeqlWfP/vZz6bJ+5hjjhlXY84f/ehHKWoc4rDccsv1jBvWT3/602Sg+tGPfrRtUqh77703EQeeM6JyRgkEugkBkjQ2D9ddd103DWvMxhLkYcyg7UzD/Ozlj6gbeZAEywQutsJ4uULJTbH88sun81KZ3HbbbZ25KB04K4txbqjIZDvsX5CRFVdcMXnzhDV6By5onHLMETjxxBOTdPT6668f83N1wwmCPHTDVSyNwQp/nXXWqZXaQvdMOPPPP39KPHPnnXeWejw2X//85z8XW2yxRSIO0003Xde6ZA6GHimUpFjtCE/9/e9/Pxm7kjg899xzg50ytgcCjUZAHhiSh8svv7zR4xivzgd5GC+kx+k88kaIqfDss8+O0xmrnYbtgax1pA+M+NqxGh7szHIqENc7lz92DoxJe7GMFmdeFfPOO29KVR7EoRfvoN4Z82GHHZbeF2PlodRtSAZ56LIrKinWkksuWdQxDTKJw0wzzZQ8L+SVGIvCUJTqJhtIfupTn+oJA8mxwFIIb9IiWVpfe+21sThFtBkI1AYBaguLja997Wu16VOdOxLkoc5XZzL6ZpUtjsEDDzwwGUeP7SGCWO28887pAf3Sl77U9pORbhx99NH9iEOdvE7aPuAxbFBabfYpPHc64V47hkOLpgOBARGg5pt22mkLod2jDI9AkIfhMWpMDSLqD33oQykgE2PBOpannnoqqVV4Pvz6179uaxcvvPDCgn2D1QOS0svEwb1A0vPCCy+MGGPGkVRf//Vf/zVuxq0j7mQcEAi0GQELmhlmmCFcNSviGuShIlBNqGblLUDULLPMUtx///217bI00Sb4Pffcs222CAwyBaLSrmiWjz32WG3HPx4dy4G5SKJGkufk9ttvT2HEV1555drZzYwHbnGO3kWA5IHB5NVXX927IIxg5EEeRgBWE6ruu+++KSd9nckD/flWW22VHtRvf/vbo4ZVzAHR4RCHWWedtRAgabSGgqPuVIcbYOg41VRTFR/4wAeK119/vVJvhOXl0rrKKqsUTz75ZKVjolIg0C0IIA/eIV/5yle6ZUhjOo4gD2MK7/g3Ln8Dm4c6kweo/PjHP07GkyJivvrqq5MNFNXEbrvtlh56uTOQkZGstCf7xDU/ULZLKhwp2v/whz8M21v3y2KLLZaIw1gZsw7biagQCHQQgZwPph3uzR0cxridOsjDuEE9PifiDmn1XXfyQDJwxBFHpEn/c5/73GRLCugpiRqtGPbZZ5/xAbkBZ2HzIpOp9ON/+ctfhuwxr4qlllqqWGGFFSId8ZBIxc5uRkAQuemnn76QFybK8AgEeRgeo0bV+OQnP9kIyQNQWfFzBWSc9/zzz/fDmbsUcvG3v/2t3/byj4kTJyb7DsRh7rnnLu6+++7y7p7+nsNTr7HGGoWcJ4OVhx9+OOEvKmldjWwH63tsDwTaiQCppdwWX/3qV9vZbNe2FeShyy5tk8gD6D/96U9Pome89NJLixlnnDGFlh5M5M5A0oSHODAQPf/887vsSo5uOD/84Q/Ti5DkQbTNgQoMhZymOvI9SiDQywjkOA9h81DtLgjyUA2nxtQ64IADUiKoOsZ5GAhEtg+IwmqrrZYM+5AF4nOkYDB1xm9/+9uUelwdKhpko5cKr5rhCm8TagvkYCCbElKfd7/73SmOQx0Dig03vtgfCLQbgQsuuCDFiBmLNPbt7msd2gvyUIer0MY+yG0hnHDdRdCSY73yyisp+qNQ0tJHX3HFFcV3v/vdFKhFhMiBPDEYQ3I/RBwEdOm1VYKMfzxVrrrqqiEzW1JHMCDlttoa5OnRRx9NNg6rrrpqEcaRbXz4oqlGI+DZorYIg8lqlzHIQzWcGlPrvPPOS5IHbnd1LocffngiOSQOPERmm222pHsnZkcM2EK0TnqIg5TevAhIK84444xC1MpeKjfccEOfnQeXSmTrr3/96yQQ3HjjjQlHwbjKGVapJ2QalbY9iMMksMWGHkbg2muvTe+Wiy66qIdRqD70IA/VsWpEzaOOOipNxCzo61yI1T/ykY+kgETIQusfPfzvf//7fkMQewCpUHe77bYr3njjjX77e+UHY8j1118/4UBis9Zaa01iLCrELpzsy3Ee4Ic4yH1yzz339ApcMc5AoBICyIMIk72mBq0EzgCVgjwMAEqTNx166KHFHHPMUTz00EONGIZV8SWXXJJ072UCgRyUAz3R22+88cZpQlx66aWLn//8540Y31h1khHkxRdfXLzzne9MmLBvkBXwmWeeSacUKAueXDCpiF588cVi7bXXTuShVaIzVn2MdgOBJiGAPFBbRFbNalctyEM1nBpTi+RhgQUWKOSQaFLhTijC2+KLL55sGS677LIUSGrChAnFF7/4xWKzzTZLk+E000yTHm6ievEL/JFAVDEibCceXEiHi5/QzvMN1hY1hJDkcEEWuKzuvvvuKfS339RC/NeFm15iiSUKthBRAoFAYFIErrnmmhQzptfsqCZFotqWIA/VcGpMLd4WVqFNnSR4W/zoRz9K/ae6KEsj8nfkiOidtwAxvBDM0kZvvvnmxfbbb1/suuuuBQmMYC8CR+20006F1NzE/cqbb76ZVu28OVhWk3yce+65yZ5Cci0Btu66667itNNOK7hvCfX8j3/8o+8ecPxee+1VvOc970nnYNjJ9oC9yVlnnZXau/LKKwt/119/fZq8qQnKMSv++Mc/FgjS97///eLmm29OcS5IYUgF/FHr+Hv88ccnidNA6sAglhqCp4QEWJlcZYzyJ+NZOT9kyGQoGSUQCAQGRoARsoBz/9venYBbW43/A/9lyi/NRfP4SnOplOY0U0mz0jwKpbmEUooSzYUMEWlUlCZFpBSFVIhSKBGajOH6/T3/67O4j+fd7zln73PO3vvsvc+9rmufvc/zrPG71rrXd91rrXulnYfh8Wl8muShEZE+/9/mQ6rq+ia5fiyS2bJNkTEI+p511lnLGr6bQ9ddd91iepn5ZTNqJILdhyWWWKIcT3SVtFm4o5zueFhsscWqL3/5ywUKJq1dymW2zpQ3sjXbbLOV/y35LLrooiVspC9uav9w//jHPwoZYY3OiY955pmnpMO/UyJzzDFHWTuVZ2lbR7XJ8/jjj48oyskS7/kXh0Hefg5x+HhmP4Pwe++999D+DveCbLnlluWd/LNx4UPdWseq/htxuPvuu4fSzh+JQCIwIwK33HJL6afMVKdrjkCSh+YY9ZUP5MFgYZ27n92ll146w2CIKMQmSqcsaAB8LB/QDCAFZuVm+AZ4R0FdSc3mRSOZ4ucHP/hBmbm7gZKmhsbBCQSbTVmr9IzxKZqB+v4LuErXvhL+aAEMzj6sXnrubgmaC+UQ3nd9r4G8menYnOVkBO2HXd72Kvj9yU9+sjr22GPL1eL8xakS5aQl8Y4FTss67qSok4X6b2QqNC793B4y74lApxFAHmgeaG/TNUcgyUNzjPrKh4ZPTf3II4/0Vb4bM8tCohl7fSC04S9ODjT6n4r/x0bT2O9AU4E4hpEtGhXEJF0ikAg0RwB514ccAU/XHIEkD80x6isfzFNT1ff6Uc1moNpr0KiKT+Mt/0aNpsUejiANljgsZTByQxPiGCcCGcs0zbDO94lAIlBV9jshDzR76ZojkOShOUZ95aPf7rYYDlwDIOuIda3DQgst1HcnSIYrWzue2ZgJG/sl1lprrbIp02mTX/ziF+VKbXs2bPhMlwgkAq0j4JSFPpWnLVrDLMlDazj1jS/koZ/sPDQCa2+CzZAGR5sYfcwGmKS2jyFdVU5hnHzyycV8d1wcZpmK1Ug3lKYBqGwlicDYETj33HMLeUjNQ2vYJXloDae+8XXYYYeVnfpf//rX+ybPkVGbGBmHQhys19us6P4Fpxn6xehVlKWb3zZ5siRJ40Brky4RSATGjoA9RE43pZGo1rBL8tAaTn3jq5+XLRyRso5PdXjKKacU2weMRvmfTYZ0MyLA8ibi4FRFahxmxCefJAKtIhAnvJxgStccgSQPzTHqKx/Ig0um+uVK7gDXjHmBBRYoWgeXYzly6dijzYA0Ea9//etz2SLA+s+3PQ5wsTkyNQ4N4OS/icAYEWBh0kTFnTtxNHqMUUwp70keBqy6LVswXsTIUr845qXDQqI1e/YXuP33378QB+SBtUmz7HT/RoAdDySLIazcHJmtIhGYOAIxWcmjmq1hmeShNZz6xhfyYN3OrYr94i688MJiVZEFyUsuuaRk2+bIjTfeeIg8UMvHpU/9Uq5O5RNx2Gyzzcq+kKuuuqpTyWS8icCUQsDRZkaibJxM1xyBJA/NMeorH25WZFzptttu64t8u9iJ+WfahR133HHogiubAGkhPPfpx6WYTlSAuyw22WSTYoI8NQ6dQDjjnKoIIA+WLVhvTdccgSQPzTHqKx/MU7s4yqDcD26//fYr5IC2JLQO8h1nroM8MBjl8qmp7CzbuEFT/abJ6ancErLsnUAAeSBv7BtL1xyBJA/NMeorHzQP1P/uVuh15y4Jm/102LXXXnvo3gpLFltttVWx72DzEgNR/Liae6o6d2HABF6pcZiqrSDL3UkEgjwcfvjhnUxmYOJO8jAwVfnvglxwwQXllsXbb7+9p0vmSmp3VSAFbpysr927hpqdB8sWTo04UcCfTZVTcRe0PQ7sX7C62Q+ksKcbXmYuERgBgWuvvbYsW9DeNl6EN0KQKf04ycOAVb/bGNlKsHO4V53Lrfbdd99CCJAC2oW69Ui7nT1fddVVi7VJV1z737XaDz30UK8WqyP5QhxY3GQA6qabbupIGhlpIpAIVGWiYr/YLrvsMiUnKWNtA0kexopYj/tHHixbuJWyV915551XGD6SgzjUT1FY13cskzbi7LPPLsaPEIf4TKXLsWyOdOJk4YUXrm6++eZerc7MVyIwEAjEldwHHXRQah5aqNEkDy2A1E9eXJpkxzCDJ73okJowBrX66qsP7XOIvNrXgChst912xSS1GffSSy9d7m3wPAxIhf9B/Y7NkdOmTUsDUINayVmunkLgS1/6UpE9uWGytWpJ8tAaTn3jK8hDfQ9Br2SehmG55ZYrHdSFVzpr3dnr4CSBs9aWXVz2xAjS5ptvXp166qmFFDGAdeWVV9aDDdzv3/72t0ObI++6666BK18WKBHoRQSSPIytVpI8jA2vnvfdy+Th7W9/+xBxsHTRuCnpC1/4QnnvVMHzzz9fuWHT3RYMIjl6ag8E7YPLspw+GESHMK2//vrVfPPN11dWQgexLrJMUwsBS4OOjDO0l645AkkemmPUVz7iZrhe0zw4JeC0gMH/qKOOGhbT5557rrrmmmuKxoGHP//5z4UwbLPNNsX/V77ylaK5eM1rXjPkZ9iI+vShzZFrrbVW2RzZ66dl+hTizHYiMCICd9xxR7lL55hjjhnRT774LwJJHv6LxUD8uvjiiwt77iXy4JIrVhERh+WXX77lgT/IA01EHNF86qmnKoPsoDllUk42LdKOw6DVbpanHxBwp47TFnvssceQvOmHfE9WHpM8TBbyHUrXaQsbJnuJPHzuc58rhEa+xnJawqbBZZddtnTmDsHVE9G6GGzXXXctF5pdccUVPZGnzEQiMNUQsGRouTCWTada+cda3iQPY0Wsx/1/4hOfqNhF6BW1tw65yiqrFK3DDjvsUBy99oMAACAASURBVK7abhXCBx98sGyYNBMYVMe+xYknnljq7KMf/eigFjPLlQj0PAL33HNPMbB38MEH93xeeyGDSR56oRbamAfkYfbZZ+8J8mDZYfvtty/EwcbHH//4x2Mq6RNPPFE2TO6+++5jCtcvnm0KdSxs5plnLjYtGjeQ9ks5Mp+JwCAgYM8D2zMHHHBA9f/+3/8bhCJ1tAxJHjoKb/cjt2zhqCNTq5PtLrroopIXO5gtXYzV/d///V9RIe62225jDdrz/oM4uPCLbQtlTZcIJAKTh0DcbfG2t71thpNgk5er3k05yUPv1s24coY8vOAFL6h0hMl0jz76aDHuZJOkTYA//elPx5UdSx32AwySQxwOOeSQMss544wzkjgMUuVmWfoWgSAPRxxxRN+WoZsZT/LQTbS7kJYZPkNKk3l9NZWfwRFxiKOZ41UDMhbVy6a2x1ql9jgcd9xxZWMWmxzjxWWs6ab/RCARGB0B5MGm7gMPPDD75ehQlbdJHloAqZ+8OKpp2WIyT1sgLixIIg7MTP/617/uJwg7mteTTz65nDyhcUiXCCQCvYOAi+fIThZt//a3v/VOxno0J0keerRixputyT6qySokI06IwzzzzFM5O52uKjMZhIFW6PDDD6/cLJouEUgEegeBIA+WScOuTO/krvdykuSh9+pkQjmaTPPUVPBHH310IQ52LZ922mnZCf9Tmx/+8IcLcXAsk12HdIlAItBbCFx//fVFK7jlllsW8/i9lbvey02Sh96rkwnlaDLJg/0WL3vZywp5MEj+85//nFBZBiXwmWeeWa4Yf+c735mYDEqlZjkGDoHY85DLFq1VbZKH1nDqG19BHq6++uqu5tm+hhVXXLEQh5122qn661//2tX0ezWxj33sY+VUhUvBch21V2sp85UIVOWEmg2TaWGytdaQ5KE1nPrGF/JgvwFjUd1yBsV99tmn7FTeeOONK1dKt8P94Q9/qN7znvf07e2SLEba4/DWt761XPLVDkwyjkQgEegMAnFUM+08tIZvkofWcOobX0EezjnnnK7l2U2edilj7a7Vbpf7zne+U2btTmz0ixEl5rhdbPWhD32oEAeCKDdHtqtFZDyJQOcQiGWLXXbZJZcXW4A5yUMLIPWTlyAPZ511Vleybbli5ZVXLtqO173udZVbL9vlvv/975c7H/rlbotnnnmm2mCDDYaI1Dve8Y5cqmhXY8h4EoEOI8AqrwkQGzVpKr452EkemmPUVz6CPJx66qldyTfTypZJ5p133uqb3/xmW9P82c9+Vi244IJ9c6vmQw89VC2wwAKFPLz//e9P4tDW1pCRJQKdReDOO+8sG5uPOuqoziY0ILEneRiQioxiBHnoxg2NjEHNNddchTysttpq1bPPPhvZaMs38mAw7hfNg6Ops8wyS3XSSSf1zTJLWyoqI0kEBgABmgd3zZx99tkDUJrOFyHJQ+cx7moKjETRBFhz76Sjol9//fVLWu7ScDSz3aq+e++9t2g03vve93ayKBOO25FUxIFVTRYk84jqhCHNCBKBriPwpS99qZCHj3/8411Pux8TTPLQj7U2Sp4vueSSYuhkPLdYjhLtDK9oNtyWiahsvfXW1Z/+9KcZ/Ez0wV133VUG5He/+90Tjaqj4U8//fSST0sVaZmuo1Bn5IlAxxCwYZJxu26eVOtYYboQcZKHLoDczSSwZycf2BfolHMUc9VVVy3EYZ111ql+8YtfdCSphx9+uFp44YWr/fbbryPxTzRSt2OyHPnyl7+8oh1pt+ZlovnL8IlAItA6ApdffnnZ83DBBRe0HmgK+0zyMGCV76gkjQANRKecK2tpHKRz5ZVXdiqZ6sknn6yWX3756oQTTuhYGuON2NLEYYcdVojaKaecknYcxgtkhksEegSBc889t8i1fffdN/cstVAnSR5aAKmfvHz9618v7Pmiiy7qSLZtYlxsscVKJ9t2222rP/7xjx1JR6TSmn/++YuhqI4lMo6I3eHhKOzcc89dHX/88blUMQ4MM0gi0GsI0No6qsk8dVrIbV47SR6aY9RXPuwYtm532WWXtT3fLnTaa6+9CnGwNCKtTrqnn3662nvvvatbbrmlk8mMKW7GqmhCbI50S2YuVYwJvvScCPQsAmEkavvtt6/+8Y9/9Gw+eyVjSR56pSbalA/XyjKJfNVVV7Upxv9GYxPmS1/60kIe7Hlolxnq/6Yw469e2oBoqYL9DMs1rtXupbzNiFw+SQQSgbEgEOap3UOTk4LmyCV5aI5RX/m4/fbbq1lnnbXt5MFpCtYT7XVwFvozn/lMX+HSjszaFOlY6oEHHph7HNoBaMaRCPQQApYtyLe826K1Skny0BpOfeMryEO7j2o6mjnzzDOXznXwwQdPqfvuaRxcqz3HHHMUjUPeVdE33SEzmgi0jMD1119f9jwceuihLYeZyh6TPAxY7X/3u98tVh8vvPDCtpXsiSeeqFZaaaVCHLbYYou2W5JsW0Y7EJEbQ+N0yY477jilSFMH4MwoE4GeReC+++6rXvaylxXNYi5bNK+mJA/NMeorH26inHPOOavPfvazbcm3TkRdT503++yzVzQbU8XROBx33HFlqWLnnXeuXAKWLhFIBAYTgR/96EdFxjltYdKQbnQEkjyMjk/fvWXSeb755quuuOKKtuTdiQqkAXmw1m9AnQoOaXJHhf0d1kDz6NZUqPUs41RGIMjDG9/4xiQPLTSEJA8tgNRPXixbsD/AWNREnU2SG264YSEOyy67bOXWyG47O6BvvfXWbidbMTn9ile8ojrvvPNyc2TX0c8EE4HuI/Dzn/+89Pk8qtka9kkeWsOpb3zFnoeLL754wnl2osImSXYj3NbZbceuxLrrrluttdZaHTVGVS8XzYpLxRxJPeSQQ/I4Zh2c/J0IDDAC99xzTzmptt1221VkT7rREUjyMDo+fff2wQcfrBZZZJFqojfDua+CaWjLFcsss0z12GOPdR0LpxrWXHPNatq0aV1Jn+VId1Wwk/G+970vN0d2vcYzwURg8hAg8xZddNFqyy23zL7fQjUkeWgBpH7y4j6IFVdcsTrnnHMmlO2jjjqqHFuieXDJloF1MtxOO+1ULb300pUTH510LEd+5CMfKcThmGOOSY1DJ8HOuBOBHkTAsqxL7jbbbLPc89BC/SR5aAGkfvJC87DQQgsVS4jjzbe1v8UXX7xoHSbbzjvy8NrXvraj+w5YinzPe95TLEfaFJo7rcfbcjJcItC/CDzwwANlc3iSh9bqMMlDazj1ja/bbrut7FH44Ac/OK48O2Vw2mmnFeIwyyyzdPz+imaZZFth7bXXrjplmIlG5f3vf3+5HXP33Xfv2t6KZuXO94lAItBdBJjbt0S7xhprpBxoAfokDy2A1E9e7rzzzsqgb9lhPIZOqO5C67DLLrtM+izcgN6pNUj4uNzKXRWOZ/3hD3/op6rOvCYCiUAbEXjmmWeqVVZZpeyzeu6559oY82BGleRhwOr1kUceKZt+zNjHs0/BCQu2Deaaa66KwanJdm6wXGqppSqbmdrtPv/5zxeitdtuu1W/+c1v2h19xpcIJAJ9hIDlSyct2Mn55S9/2Uc5n5ysJnmYHNw7luqPf/zjclaZ1mCs7gc/+EE52eCExQEHHNATBqHsRXCDp+u52+kY0UKQttlmm4o9i3SJQCIwtRGgidx1112rJZZYovrd7343tcFoofRJHloAqZ+8IADMU++zzz5jzrbjiYiDQfWuu+4ac/hOBKB5WH311SsqxXY5t+fByMaoNDndLlQznkSgvxFw4gp5WHDBBavHH3+8vwvThdwneegCyN1M4oc//GE1zzzzVEcfffSYkrXT2JHIF73oReUuCyq8XnCnnHJKW+1M3HTTTeV2zFe/+tUdWQrpBcwyD4lAIjB2BJ599tnqNa95TTmtluShOX5JHppj1Fc+kABnld/5zne2nG9EYf/99y9aB0sEbEX0ijv++OOLhcl2LC1cd9111cILL1ytv/76FZzSJQKJQCIQCNgwzQw/43i5eTpQGfk7ycPI2PTlG9fKWnZwC2Sr7sorryxmWS1ZMAXd7v0FreZjOH9utXR0aqLkwR0ZCyywQLXVVltVjmSlSwQSgUSgjoDj4CYWjOy1c5m0nsYg/U7yMEi1WVXV97///WLoxBHHVpy7HByFRBzmmGOOtlyo1Uq6rfqxsfGII46Y0ObNa665phCqDTbYoKe0Kq1ikP4SgUSg8wj8+c9/rtZbb72inczTV83xTvLQHKO+8nH33XcX8kDd34qjyqepQB7e9a53tRKkq35sYvrHP/4x7jRdKe52TDbrEat0iUAikAgMhwDLsptuumlZ9u3E0fDh0uznZ0ke+rn2hsm7WzVnnXXW6sgjjxzm7fSP2IFgHAlxYEuBjYhBcpdffnk5VWGfw4033jhIRcuyJAKJQJsRsDS6zjrrlA2TeQqrObhJHppj1Fc+fvKTnxQjJ29+85ub5vuGG24ofmeaaabqzDPPbOq/nzzceuut5XZRm5965dhpP+GXeU0EphoCzz//fOUunzQS1VrNJ3loDae+8eVO+tlnn7066KCDRs2z9b0NN9ywaB1WW221njWKYtlirMdGbY50XNWdGD/96U9HxSFfJgKJQCIAAXJm2223LcucaWGyeZtI8tAco77y8b3vfa9sfHTZ02iOvYOXvexlhTycffbZo3md1He33357uaej1dMWNkfOPffcZdMTIpUuEUgEEoFWEEAeWJx1KivtPDRHLMlDc4z6yoeNPtOmTav23HPPEfPthMV+++1XiMNiiy1WMWndq+70008vhquuv/76pllEHKgcV1hhheqOO+5o6j89JAKJQCIQCFi2eP3rX18mHz//+c/jcX6PgECShxGA6dfHNvqwFDna3Ra33HJLNdtssxXycPjhh/d0UVmYtAGUBmI0x+S0UyOWYB588MHRvOa7RCARSARmQMCprq233jrJwwzIDP8gycPwuPTt0x/96EflqNHee+89bBl0kD322KMQhxe84AU9Z9ehMdOf/OQniybl4Ycfbnw19H/cVbHkkktW995779Dz/JEIJAKJQKsIWLbYYYcdymQlJyDNUUvy0ByjvvJhg6A1Owx6uI2G3/zmN4esSS6zzDI9f/XsBz7wgUKG3NkxnLvooouKxsHlWd/61reG85LPEoFEIBFoigB5+aY3valcjJVHNZvCVSV5aI5RX/mwsdDlLk4a/PWvf50h7x/60IeK1mGWWWapzOp73Z100kll9/P9998/XVadwjj//PPL5lDHq3KD03Tw5D+JQCIwRgSCPDAo10v3+4yxGF3znuSha1B3JyGE4bWvfW3Z+NNomVGHQCoYhXIk6e9//3t3MjWBVFwTbg/HY489NhSLctkL8eIXv7icy37iiSeG3uWPRCARSATGgwALk5tsskll+fP3v//9eKKYUmGSPAxYdbPfQIW/8cYbz0AOTj311EIckAenGPrBOTXyqle9ajrNAo2D/Rp2Rqd6sR9qMfOYCPQ+Ak5bbLbZZsW4XE5ImtdXkofmGPWVDzdGulZ2p512qv71r38N5Z3WAalAHBZffPFqtA2IQ4F64Mehhx5aOnMcnbLHwZLLSiut1Ddl6AEYMwuJQCLQBIHnnnuuaG0ZmAt50yTIlH6d5GHAqh8pcJfDRhttVFHDhTvmmGPKbB152GuvvSp7BvrByXeQnauuuqpYz6RW/Pa3v90P2c88JgKJQJ8g4K6fnXfeOY9qtlhfSR5aBKpfvGHMyIO7LULz4L4LzxAHN0zeeeed/VKcYq/CBiYaCLYpmNT+zne+0zf5z4wmAolAfyBgQkVukjNp1r55nSV5aI5RX/kI8mDPgzU8zg2biIPPW97ylgldcd1tMMImhbyvscYaqU7sdgVkeonAFEHAaQtH3N0wnBsmm1d6kofmGPWVD+apmZxec801y7KFC16cVjD4vuQlL6lcGtVPbscddyx5X3fddStlS5cIJAKJQCcQoHkgb1ZeeeXqmWee6UQSAxVnkoeBqs6qCjsPa621ViEPRx999JDWYfvtt6+cxugXZ4+DS64cn2q089AvZch8JgKJQH8gQPNgo/mcc86Zm7FbqLIkDy2A1E9enn766XISwTFGN2zaL0DrwPbDo48+2jdFibsq2KVwgiRdIpAIJAKdRMAG80033bTcNmyfWLrREUjyMDo+ffc29jwws8qWA+Lgc9xxx/VNWa6++uqicVhooYWqu+66q2/ynRlNBBKB/kWA5sGV3I6CuyMo3egIJHkYHZ++e+uo5iKLLFIsSLIiiTi88IUvrC6++OK+KMvll19eTE67dyPvquiLKstMJgIDgYCjmrvuums188wzVyPdpTMQBW1TIZI8tAnIXonm7rvvLhdFucZaJ0AeqP6feuqpXsniiPm47rrrylHSFVZYIe04jIhSvkgEEoFOIPDPf/6zsi+M7Mxli+YIJ3lojlFf+XAl9XzzzTe0XIE8HHDAAT1fBnscWHZzTKp+rTb1YZ6y6PnqywwmAn2PALs4++yzT9nz8OMf/7jvy9PpAiR56DTCXY5fow+DUIiDzxlnnNHlXIwtOUsViIM9DnXLkS7AsvHTLaFJIMaGafpOBBKBsSFg2YIdnPnnnz/lTQvQJXloAaR+8vK73/2uWmWVVYY0D3PNNVf13e9+t2eL8JnPfKYw/QUXXLC68cYbp8unY6VOiSBA7rRIlwgkAolApxAwWdlqq62qVVddtXLPRbrREUjyMDo+fffWLZPLL7/8EHlgq71Xr952qoIp2BVXXHFYk9lmAjvssEPZ8Hn99df3XV1khhOBRKB/ELBssffee1cmMo8//nj/ZHyScprkYZKA71Syzz77bLEuGUsWp512WqeSmlC89jgwAOUG0NHu2rD7+cUvfnF1xx13TCi9DJwIJAKJwGgIOKrphNrLXvay3DA5GlD/eZfkoQWQ+snLI488UjYdIg+WLG6//faey/4ll1xSiMMSSywxKnGQ8T333LN60YtelMc2e64WM0OJwGAhwDy10xZJHlqr1yQPreHUN76QBY0febAc8Jvf/Kan8n7ZZZeVo1A2dd58881N83b88ceXpY28SbMpVOkhEUgEJoBA3G1hKfXBBx+cQExTI2iShwGr5zp52HLLLXtqv8Oll15aDEA1W6qoV8nHPvaxiobioYceqj/O34lAIpAItBUBdh5YmDT5yqOazaFN8tAco77yYS+BPQI0DwcffHDP5P3aa68tGgfHMb/xjW+0nK9jjz22evnLX17dd999LYdJj4lAIpAIjBUBex4sWzBPneShOXpJHppj1Fc+zj///KGTFoccckhP5J0dhwUWWKBYuhxtc2RjZu1+dssdi28sZ6ZLBBKBRKBTCMRpi//93/+tHnjggU4lMzDxJnkYmKr8d0E+8pGPDJGHE044YdJL98UvfrHsWWB7Yqz24p9//vlqgw02KEZbcg1y0qsyM5AIDDQCyIMJ1+yzz56nLVqo6SQPLYDUT14uuOCCIfJwzjnnTGrWEQeWI52bHs+GR3YemNZ2aqRusnpSC5WJJwKJwEAiYNli3333LZOdvNuieRUneWiOUV/5uOGGG8qGn5lmmqmyQXGyHOIw55xzVksuuWT11a9+dVzZ0Jm33nrronnIzjwuCDNQIpAItIgAi7brr79+XozVIl5JHloEql+86QBrrbVW9cpXvrJ67LHHJiXbSAsDUC65qt9VMdbMUCNut9121bRp06pf/epXYw2e/hOBRCARaBmBP/7xj0V2OqqZk5XmsCV5aI5RX/n4y1/+Uq277rrlMilEotuOyel55523aBxuueWWCSfPzoMTGrmBacJQZgSJQCIwCgJxt0UaiRoFpNqrJA81MAbhJ6NQSy+9dLXxxhtXNhx2y9mf4PKqOeaYoxCXdjF35bn11lt7yl5FtzDNdBKBRKB7CPztb3+rNttss7LnITdoN8c9yUNzjPrKh0uwnFBwG2W3NA+WF84999zqpS99afXqV7+6uuuuu/oKs8xsIpAIJALIw+abb14mQGmUrnl7SPLQHKO+8mHZYu211y7XylrD64Zzrbaz0SuttNKYj2N2I3+ZRiKQCCQCzRCwbPHGN76xkIef/exnzbxP+fdJHgasCfzpT3+q1lhjjXKvxVNPPdXR0rEFf9ZZZ5XTHUxI33PPPR1Jr5vLLx0pQEaaCCQCPY9A3KppInT//ff3fH4nO4NJHia7BtqcPtWbDZPrrbdehUh00p199tnVzDPPXDQdnbq984orrqi22GKLvJK7kxWZcScCiUAV5qnzbovWGkOSh9Zw6htff/3rX8txo6222qp0hk5k3ObIiy++uGgckJTHH3+8E8mUOI844ohi9Oo973lPx9LIiBOBRCARoEndYYcdymmxRx99NAFpgkCShyYA9dvrMOm80UYbdeS0BeJw5plnlj0OrtXu9OZIJrZd8nXqqaf2W1VkfhOBRKCPEHCrJqN0LOL++te/7qOcT05WkzxMDu4dS9Wmnw033LB605ve1HbNg1MVH//4x8utnWwv3HjjjR0rR0T83ve+t5CHyTa1HfnJ70QgERhMBMi33Xffvdzim5qH5nWc5KE5Rn3lw2kLxzRtmmznUc3QOLDj4DjmeE1OjxXMU045pZCHD37wg2MNmv4TgUQgERgTAu9617uKeeq8krs5bEkemmPUVz6CPLjFsl1HNRGHM844o3rRi15UbEg88cQTXcPkAx/4QCEP0k+XCCQCiUAnEbC3ygSpXUbuOpnXyY47ycNk10Cb0w/y4MSFzZMTdaFxeMlLXlItv/zy47odcyJ50Jntechli4mgmGETgUSgGQI2TL75zW8uG8GTPDRDq6qSPDTHqK98BHlgZdKxzYm40Di8+MUvrmyOvOOOOyYS3bjCnnjiiYU8XHjhheMKn4ESgUQgEWgFAeRh5513ruaaa67q4YcfbiXIlPaT5GHAqj/Iw0TvtrB56Pzzzy92HJZZZpnqpptumhSkYs/Dhz/84UlJPxNNBBKBqYEAmbfvvvuWk2T33nvv1Cj0BEqZ5GEC4PVi0CAPq6222oSMRLHj4K4K12F/73vfm7Sivv/97y+ah9NPP33S8pAJJwKJwOAj4F4g5qktk06GlrXfEE7y0G811iS/rKS94Q1vqGyYfO6555r4Hv71JZdcUjYNLbvsstU3vvGN4T116em73/3u0pkdEU2XCCQCiUCnEHDM3RH3mWaaqdzk26l0BiXeJA+DUpP/KYd9CjqAS6p+//vfj6l0wp522mnlqNJSSy1Vdcrk9FgyxQS2mYDvdIlAIpAIdAoBRqK23XbbapZZZqkeeOCBTiUzMPEmeRiYqvx3QRCAbbbZpmKeWmdo1fH7kY98pOxxWG655TpuObLVfD322GPV8ccfn7d1tgpY+ksEEoFxIRC3aroYK8lDcwiTPDTHqK98WLdjYXLNNdds2UgU4sCewgte8IJyoVZeR9tXVZ6ZTQQSgTYgQA6aeDmWnhsmmwOa5KE5Rn3lg2EomyUtWzzzzDNN8+54Eo0DA1AsU953331Nw6SHRCARSAQGDQHkYbvttit2HtLCZPPaTfLQHKO+8uEa7tVXX71aYYUVqj/84Q+j5r1ux2HVVVetHnzwwVH958tEIBFIBAYVgbDz4EruNBLVvJaTPDTHqK98OKppyYLm4emnnx4x79b3aBwYgHrNa15T3X///SP6zReJQCKQCAw6Ak6qWbboFfIgPwhNOJO9XnJJHnqpNtqQl7Dz4PKqkY5qapD2OLzwhS8sl1z1+lJFvQO1AaKMIhFIBBKBGRAwWDtt4W6Lse77EtY+iSuuuKI699xzq9/85jfTxU+ry0ruZz/72ap+YyfDVLfeemt17LHHVm4Qvvvuu0u4H/3oR9WRRx5ZHXroodVFF11Unjuu/tRTT00X72T+k+RhMtHvQNrus3CvxWKLLVb94he/GDaFs846q2gcVl555Z4/xfDTn/60OuCAA7p+p8awwOXDRCARGFgEmPPfdNNNy5XcI8nOkQqPLBx++OHl4kD2cX7wgx8MebUEsuWWWxYycNRRR1Vvectbqp///OflPWNUNrgjHI6jb7311tX3v//96tRTT61OPvnk6kMf+lCxennmmWdW73vf+yZ85cBQptrwI8lDG0DspSgw2Z122ql65StfWTnmWHc6h6UKliPtiZhMy5H1fI32W6di58FVuekSgUQgEegUAjaY2y8222yzjXnPA+0o+XrddddVW2yxxZB2gUbC5X577LFH9fzzz5fLCl2+xWKuk3EHH3xw9Y53vKMUSRx77bVXxaruZZddVn57f+WVVxYNxFe/+tVOFX1c8SZ5GBdsvR1o9913r9xHUVedaajUYAZizBi77Qd3wQUXlDwzG6sjpksEEoFEoBMIWBKw3GvPg2WD8bgbbrhhOvLg9Jt9FHUjd7QKe++9d/XEE08Ug34f/ehHh5IyuSO/n3322aK9kI/rr7++OvDAA5tugB+KpEs/kjx0CehuJvP2t7+93IJJ5c9Zyjj66KPLUgVm/a1vfaub2ZlQWtdee20hD7QpvbZhaEIFy8CJQCLQUwjYI2azOc3sD3/4w3Hl7ctf/nK1+eabV4888kgJjwSw+Fu/FdiFg7vsskv1q1/9qhAL+yDCnXPOOeVa8D//+c/lEZlHc/GFL3whvPTMd5KHCVSFJYJeHNBssllkkUVKA6YqO+SQQ8oAbO9AXRsxgaJ3LejVV19d8r7jjjtOt/O4axnIhBKBRGBKIGCz+UYbbVTM84/3qOYXv/jFcnot9jw4Om/iY59ZOPsX9txzz+rJJ5+sdt1116p+Y7DlDFoJEz6OhpjWwRI0LYalkV5xSR5aqAnqrE984hNlw4rGYW2KyonZ5GOOOaZykZQNNpdeemlRN7UQZUe9WENbdNFFyy7effbZpwy+OsVvf/vbjqbbicivueaaclHNA60DhAAAIABJREFUzjvv3JNErRNlzjgTgUSgfQiYxZu52ztgAB7JWRZlJIrmYbzmqW+55ZZCQOK0hsmlTZIIQEw0XfZ3wgknlOsDjCH2OTg6L30TPUsXJqY+yASyYenChkxaCGNPL7gkD01qgdUxm1Z22GGHQg5shkEkVCjiYC2LWurTn/70dIyxSbQde43YOG6kA7zqVa8qxMH/v/zlLzuWZicjdqvnzDPPXLDVmdIlAolAIjAWBExA2LPxceOwfVQG9xjMIy6yk5wfr50HyxCWHdZaa61yZNPRTePHbbfdVvZBmHg6ykkTEZoJfshn4wnSQCMRSx4mpLQQN954YyEgCITl529/+9uR5Un9TvLQBP677rqrcqQxbJ1fddVV5WiNM7dm9ZYIMFqs8DOf+UyT2LrzWoOzMdLHsaBWzFR3J2djT8WeB3duIHDpEoFEIBEYKwLf+c53iiY2ZKJvR9kPOuigsrfB0m44pyJcjDVWo3mIiI2Pr3/964v2Agk46aSTiuw16XFS4p3vfGfZtO54Zn0ixM7OBz/4weqMM86oHn744chKdfPNN5eTF4z92Sex7777FnsQjz/++JCfyfyR5KEJ+p/85CcLWbAexmGDa6+9dmGTd955Z9l8iFhgk7/+9a+bxNb519bYnFXWQTTkUHHVG2vnc9G+FMwalIXaL10ikAgkAmNFgOwzW2eEaZ111ikXXwWRWGihhYrs/vrXv17ktw2Ts84667iWLexTMFGz/ODTqNkYqwwmy2245MSN0DS7cmCs2EzEf5KHJujRMDDwYU2KQxDWW2+96pvf/OZQSKzR2lQvOBe6LLjggmXApT474ogjyt4MrFXnsdZ22GGHVaecckoxQMIIiXU0LNnanG9HiXz4pSbz3DqdZ9j15z73uaGwwiNYBnkfqrmLL764rDHaC2IfiPVGGoT6h19s3Mfxpvo7Z6UtV1DXyb+ObncyLVDEZQOSXcqf//znC/bUheIRlnbIc8w94hHXd7/73VJv0ubva1/7WslzPW3vPFe/1IQ33XRTicMzAkh+qSHlhcCRBgtxTrCwDscf+xnUknZsm1XY9IRoeuZ/QsBvz1mes3HKvhptCxH17qGHHiqzEO8RVt/Uoj78I4W/+93vSjgCxe/6x/vf//73RZhJU7uw6cparv+lIw0baPnzsbTl20zH/hj+qXcdFxPOc2lQq8qH3/Lif/HoI3ase0aI+vYhBOt581t5rUVLU7wErW/+xS0MNTK1r3e+bRYTv3Dit34trvDLnw+B6zlc5InQRv7NML0PIe7bxzNpNX6kKR3fhHd85CPyIy/+j3xIz6c+kIg/4jCoKKe8yWec/ffccerh8hP5HY98GSnsSM/Hk0Y/hdFmvvKVrxT5Z1N5kAi2HbbaaqtiH+flL3/5kBGnfipbt/Oa5KEJ4ga/9ddff4gBEuTIg8GDIzgsExDIBEBdBdYk6o68JrjsxZhlllkKg/ZNDcfk6ite8YpiPQ3bnn/++cvannXAueaaq1p88cUrz30WXnjh8t7z2WefvRhNsYdi7rnnLnspxBdriDPNNFP5ja3bm8Cfd661dVOnb8sOfjd+xOMjTN2PMOJjPjs6t7Bzzjln2Twpfs+lHe+FV1bvhPO/uAkF8csboQAH7/lr9C8N74SRlnwIKy/8Kj88vPNb/OIVpzDzzDNPCeOdtBZYYIHy8Vu4eeedt9TBfPPNV37738ZW66ybbLJJtfzyy5dw/C+xxBJFtaoullxyyVIvSy21VBFu7HTYz+LbHSaW1Rj9Et7Hb+/9dlOqfFDT8u8cOwNi2oK0l1tuubI7XBzCmHm5JG3FFVcs//MjD+JwB4r0tJVp06YNpSd/Sy+9dLXZZpuV9MTpZlff4jXb8zs+kW9pCSuPNsQ6RuydZ6ykEuaIu3Pv9hptsMEGJX+ve93rqlVWWaVaY401SpziYQeE9g+WEQ8c5IkKeeONNy6f7bffvtp///2LJku8drsLIzzrfj5++1gfV2ZpS5Mc8G3zsXcsA/rwq2x+y680+YUBf/ZE8SOc3zCBr/fyJU5pCGvznJNF/MsLDMgXy3YMpTEgZLKij/vfh2ljNlwQ7Xjm28ZpYZF/KnpLrPxZYn3rW986nV9xiNNkwP4t1gxNHhhpO+6448oE5LTTTivqc6TdAEw2mkhQtzseHqr3E088sUxCTDzE639kXzxhhjkmIvYfeG/N3/4x396ZjH3pS18qZvSVxcZC6csXy4uOPjKx750Jj8mQ8NIQZ+RLefg1mZBfRylNQJziivrVj0OO+Nbnw0x0R4T0gESa5KFJRZqh6exhVMkM0zneOPJoPU0nveeee0on0EEn+zpXsyGzYmtrZry+5T9mkGaT8ugdf96ZPXoeH+/NgJXLR7n9byYvjNm23zqhWbxdxjqnDk/7oJPqsH7bYEpj8bGPfWy6j2c6OmFFMNTfE0iOMBEsNCMEPgFCQNX9iYOmQ3o0IJEOoUcbEc88p0WSF+H9bx3RPhWCyieee8aePD/iIfj4FVb5vCPgQhASpgSZvFnX1B58E2iEGeFGML/tbW8rQtv7+BC64lJ+7/0fu6r322+/8r+yE/beeWY5ykBksDLoOILrnf0tPvwaJL0TVj7PO++8giUtC+EJS0tB0iSwaaX4UwbPfLw3aMm/8oR/Az0refHegBSDJoM4tEQ2gcmfNWSDul3sBkJ59zzyb6BHaBByg2a9bAZV4cTpd4Qz2OuDyAMy4xPEBJHw29IisiF+/yNGyASiwj/ygfAgK/EeqUJcEIZIC54GfGWIPCt/5MkzBCDKIU3P5CPiEZePMsgDv4gDUiUvSJ5v+YmP/NY/QeSDlCJ1SKxPvENgEV2aR+TQO8+QW7Ns396HP98R1iZBg2Z9EPU7iHp9EoJUB3nmB4E2GRFfTDYiHDJej9dzxL4xHXHKQ0wiTAw8E77u10APA+nX46n/5j8mFjEB8ExcJgh+x0Qh0qyn4TfZlm50BJI8jI5PUUESoIQwFTahacDjqP4MbJ/61KfK4BGDSq9snGxStHzdpwjQcFGD0zJRtY/kqMu75eRDvkId7lsew/k/lgc8jw/VPRU+DR4XZYvyCRdxRRj+pEcFHUsuljsstSDOvi1TWAbgxztLQpYWvI+lGc9MAvj32zKNJRN5qqclfa7xGfw9k2fLKZZipOl/6dTj4Y9/eeDXcoilDXmRPxhYapKP+sczG+RoNpF3y0eWsNyNYFksPt6ZBFgyYxzORME7z02AbMTz7T1/8Yl4TYJuv/32MhmwATwmApYCLQNasvNeOHLQ8hztA3LtW54iTt+W9yxbCm/icfnllxeTy8KZbMT/zDCbYFj+k4ZlQ0uM0hQe2fVbfvxv0gIDS5CIvOfC8ycuEwBy2G/vpCc+z8lpEwGTAuSddq+RNCCyjkuqj3SjI5DkYXR8ylsdXSehFnTUhoDgdHzEwrqthmwGaNYXSxotRJ1eEoFEIBFIBLqEAJKK7NAOhUaE1oL2yTINspauNQSSPLSG07C+zCTMWjgzoWD9w3rOh+NCwKzPTGyy95KMK/MZKBFIBHoCATLEsiXSEHscLKFYXrO0SeuUbmwIJHkYG17pu8sIUNlaK7ZJKtTHXc5CJpcIJAJ9jIAlCPtS6ksU9qNYXrZ0lG58CCR5GB9uGapLCNicSa1oQ1129C6BnskkAgOEgD0mDPpZprCZ1AbgXJ6YeAUneZg4hhlDBxGwOcvOaLv2u7kBsINFyqgTgUSgywjYQGtTps2c6dqDQJKH9uCYsXQIAZ3dkTMbUaeas6emm3s9bCYb7fTGSPgjdTYRh+GokfwpS5yqGMlPPk8EEoH+QCDJQ3/U05TNpaNmzqc7/++421RxNt+ye+BoWacdwuD4GsNEjveN1dEOUQszLsVmx3DOcTmb09iRSJcIJAL9j0CSh/6vw4Eugdksi4as7Tk/P4iOKWxGturOWXZWFruhcaE5YIWPFcnxGMdhdVU4RpucpR/OsUuAnOy2227Dvc5niUAi0GcIJHnoswqbatllS4MVQKaEJ/O0BXW72bP7Lhz7crTLHReM4cSlaeOpG3EhRgZVBnAYxGHYiHOfCMuUTpywHcLeCGewZwEU4WDkyB0VDOXUb+SjpWGch8EfBnzCwZA2h/VNtksY0UHKGDiyKRUJYGAozK1HONoJ6QnDCE/jhjPvXcjWSB7E7S4PHyaSmYoO5x3DRfIor+o6XSKQCPQHAkke+qOepmwuXSLEPLgNk5NJHgzcLhdzHwUjMwY8d01Q1xv05I2WxEDNwp8PK4OcwZ49EAM0C4MsD4YWhcqfWWRmjVkxZeqZHw55YNbYc8dVWTcNa4xMSUsf6WCGmnlgJqTlA/lg8MY9CcwrG9RjoxhLgkwkyzcz0qzsMU0uXhepeYaoMZ/MKl9gzjS3pSN3K9AgSDNMtMurstKU1MmDfRDuInBvB2Nq8uueBU68iIh05NE7RCldIpAI9AcCSR76o56mbC4fffTRcqnTZGseVIAB0mDItK1B0J0WsQEQaXB23FGwuGDM5TzcT37ykzIwM33rHgN3G5hpc0iEuxqcOUcy6k4a7oOgeTD4u3eB9oOj7YCJNN1dYmZvaYCjVXDpj/8RAwO9wZtz34gLvJAf2gymeJEe5MFlTe7AQJQcZ0NcHI8VjzzHkgatg0HfnSLhhLHnwfJHOFoaWiPhaEIswbgsiVNuhInWBbFytwdT7+PZsBnp5XcikAh0D4EkD93DOlMaBwJMf7vUx2AYs/VxRNO2IPJjkLW+b8khnFm4C63c0kgbYNYfN/MhQK5BRzrccuhyq7g8zQkEBmzY+m90yIMwHLJAM+AisnDiopWoOwTEpVgGd/nhx6VVZvmci89sxEQGlIGmAwGi7TD4W4rhaFfkixbDPQLSrlvho30w4IejIUKOXLoVDlFwgVXUG+1RfcOkC7mWWWaZcokUAhXkJMLndyKQCPQuAkkeerduMmdVVQZogxw1/GQ7s3MDOnO2NBBm/i41moij2rckQfNgkDWDj+UOaQU5+NOf/lT2JNijEA5BMfjXneUABAZhoFGQP5oP+xwQC7eUMtOL0NBC0JK4kCgG/4jfLaVuk0RuLMu4jdJ+DM4eC0sUDHiFsxRjz4TLi0J7gBxYkqE1kTaCQKPBISIwRBjs9aAdsSzjeGq6RCAR6H0Ekjz0fh1N+Rwa/Bo36HUbFOm7lnnatGllJm6j32KLLVZtttlm5cry8ebHoEoTYdYufgOowZw2wHXUBmTLBmb/0rYkgWRY9qABcfW0fQj2WIRjDMdFP67MNtM3aCMZlg5oIpxesZ9CevxZcqElQSSQNOTFFd20E8qJkFiiUVbh5NF146FR4IdWAR6WIuynQE7s8aChUDZXhrtuGhF0ksSmTPs0aFZswKTZoBGJS+eiLPmdCCQCvYlAkoferJfMVY8hYOZvpu10BSLh4zc1vaOKE3FxaY8Nivfcc0+ZfUvPnomzzz67DLYGXDYfzOxpA5yGsNRBY4FQGKzrDgH5wAc+UPYR3HnnnUNXDNswKU4kAFFAGpADg7l4kARaCLfESi+WXsSNJLj6mCYhiIPnNBxOe8DDPgf5ik2fvu2DEC8Ngw2itBQ0LEgPomFfB3KDJKZLBBKB/kAgyUN/1FPmMhEYWATqRGRgC5kFSwQGDIEkDwNWoYNWHGr92AMwaGXL8iQCiUAi0K8IJHno15qbIvmmNmdfgDo8XSKQCCQCiUBvIJDkoTfqIXMxAgLW0v/nf/6nbPqLXfwjeM3HiUAikAgkAl1CIMlDl4DOZMaHALsGyAPLh5Yw0iUCiUAikAhMPgJJHia/DjIHoyAQ5IHdgrDmOIr3fJUIJAKJQCLQBQSSPHQB5Exi/Ai4cfKlL31puf8gly3Gj2OGTAQSgUSgnQgkeWgnmhlX2xFgGXGuueYqBo/aHnlGmAgkAolAIjAuBJI8jAu2DNQtBNwBMd9881WHHnpot5LMdBKBRCARSASaIJDkoQlA+XpyEfjhD39YboF0+2O6RCARSAQSgd5AIMlDb9RD5mIEBJhCnnPOOYdulxzBWz5OBBKBRGBEBFz7fvLJJ1ef/vSnK6bf000cgSQPE8cwY+ggAi58Wnjhhaszzjijg6lk1IlAIjDICLjPxZHvF73oReUGV/ewpJsYAkkeJoZfhu4wAm6UdAuka7DTJQKJQCIwHgRsvHZr66yzzlpIxJJLLlndcMMNafp+PGD+J0yShwmAl0E7j8A//vGPomqsXznd+VQzhUQgERg0BNyRgzBsvPHG1Qte8IJqttlmq97whjeUW1/dbJtubAgkeRgbXum7iwjQOhx33HHVe9/73nIdNiKRLhFIBBKBiSBgz4Pr4Oeee+6ihZhpppmqNdZYozrppJPK9fITiXsqhU3yMIC1/a9//auo4x577LHqRz/60dDHsceHH364Mov33P+PPPJI9ZOf/KR8/+IXv6h+97vflc+DDz5Y3osDK//DH/5QPf7449VTTz1V/D755JOVTUhPPPFE9dxzzxU/P/vZz8r7Z599tvL54x//WD5+//Of/yx54hcJYC3St+uYGz/MUNsoue6665bOba1y3nnnrRiM+stf/lLy8stf/rKUQXmefvrpSt7F7b20nnnmmZKnyMvzzz9f3v31r3+tfPiRrufywgCV/6XtXbwXX8Thm3/hPYeNdDz3TPpmN41hvIeF8hJc4vAJLCLtwEF4fv/+97+XvEVevPdMWn7X8+l/YeqYei89daeu6uWI35F///OnPajjyLPvKG/4lW/xPfroo9VvfvObEk4dCB/xKgNco7zyAgNh4SbOxvxH+aMswsdv8QUuntXD+g1DdRdxiL+ORTzn1/M65vFM/oRTDsRVm/rVr35V+oO277n6VfbAIsrredSreOK5b/mWBj/w8N4nMBSXd/V8qGd+hefXe3j4xDN59RG/Z9IXh4/yeud5hBNfpKEe6vkMrL0PnON3hPe/T/itYyodfVL78Q0r+DktpS+TK8qpvfhWdh/hfDwjS7SjyJffv//970s5hCevhPebzApZJk3h+SeD1BmZxZ888Otb2JB56vOiiy6qVl555WKEjozxWWGFFarzzz+/pDmAQ0Nbi5Tkoa1w9kZkOu6uu+5aLbXUUtWiiy5aPjYdLrjggtW0adOqhRZaqGxCXGSRRcp+gnju3XLLLVc+ns0///wljle96lXViiuuWL3yla+sVlpppWqxxRarll122eJv6aWXrlZZZZWKH2m9+tWvrlZdddXyjc2/9rWvrV7zmteU/Ky//vrl99Zbb11tuumm1TbbbFPWIa1F+uy0007le+eddy7pRYeOb3Gts8465Z28LrDAAiUv0vQ/svG6172u2nbbbas111yz5Ene5GfzzTevNtxww6Ky3GSTTYofaW622WZlA9W+++5b8uhb+MjLBhtsUMoiHh/xUHsKp8yEj/g9W2211Spl3GijjUoY+YqPvL/pTW+q1lprrZLeG9/4xmr11VcvF37tvffepdzbb799ucNDGWC0xRZbFJwiL76Z6Ra/uz522GGH8gn84LnVVlsN5d37tddeu+ClvqIM8S2/6ib+V8fqVpm8k2fv1JVP+PMtviWWWKJ8axPCCO+dMsNaGPWgHDDVHpRZO4KfZ8oc+a9/w0c9eeY3TNSFMJ7BUvn89r377rtX+++//1DZYSRcYBdxw2i77bar9txzz6F0hYe3/KnH9dZbr7RlbUpel19++VLXyikfvpUx8PBbvbv91UcZo959i0+62qf6kA7cA0PYecePcsFd3rUVacDQe3iK3zPv5FU5pe2Zd8IHRvIq/ag/aSu7NiJ9+RCOH/UBK/UhHH/ikXdtXl3stttuxdKrdPTRN7/5zeUbfuqGvNF+4KYt2FdAjuin/pcOeeFb2RvbpP9hobwwlEfYy498ikd4A7x4yRvf2qE4hSXn1Jm+yZ93wsmTuMg0eSTnlllmmbJ0YQkjZIxvmyoRiHSjI5DkYXR8+vKtWcuFF15YHXPMMdUHPvCB6rTTTqve8573VAcffHD1vve9rwiFI488siwH7LPPPtV+++1X+f+AAw4oAyjBRdgaAN7ylrcUAUGoELAGL8LKR+ck8AgWa4eEx+yzz146PSEWwsS3AZZAIvR0cuEJJmGlZ7ASH3JAcLzwhS+crkPr4IRCDFg6vng8E44K8hWveEX59k4cnocAQphYquSPAJI2YUKQzDzzzEWoiMtHfgkmeVEOQjrK6RsOBnzYEbAEKQFLqBKke+2119D/EZYAl5cQ8AY6AhcO4vSekIR5YEOgC+9/fpWJwOdP3gJH78MPwasM/HkmvPzJE8Khngyc/tcejjrqqGqPPfYo5fTMO3lDopTTAOH3EUccUdqJ9+LRPgID3z7KgbTCxf/i80z6UQ74BKbqwOBnMIsy1L+9DwyUWX58xAXvul/PlF25tSeDTQzUsOJXfMIL63eEj8HR/+rz8MMPL31BOQyYMIAJgtJY5ig7DMVjAFYmvyPPyhAffQAecPGRHsyEkScfbQEmEZ98yHc9z5F338oZZa8/j9/aDsKjX0Qa+nGkI23tTl9EXLQz/cwALN/6Ljz1IYTAIP/yl7+89B2Dtb7ytre9rXr7298+HT7Kduyxx1Yf/OAHi5E39a5M2o+8aafyLj2YsOXivf8PPPDAIp/gBX99J+pOv5YnedWeERPlUgew9C7+V05l0+60Y/LsHe94R2knCJk2Ch+G6IJAIBtf+cpXKhrcdCMjkORhZGwG9g3V42jOeypg6stwoRIOdSo1KjUg1SV1qedUg9/73veK2ttz6mnqX2pE6kdxUC9SJ4o7VLH80paIj8qS2pxQjs7s2wBA5SgN6k1qR0snVKTUn/fee29ZxqAmpbKkwhSfuHxbqrHj2nv5ocL1nOrzjjvuqB544IESt/h9PKdOlTdqWmru+PYsnOdcYKCM9f8jjG9lpDKHFRcYiEP4UEPDxSee+c2vMvnwByc4ht/wI8/KB2fPpFt3kXb9md/1MsW74Z7Fu+EEa2ARfnzHM/mQn2hH8b+yaG+BRb08fsOAX+/lx8f/ylH365myw0d82huM4OA74he+HtZz/0sn0qjnfyy/xQMXZfI74vM7PtE+4BIfaQgT5ZEXZRAmnHzH+/q3NJQvVP/+r7/32zN9Rb/Q7j0Tf6QjbR8YhvpfH9B/+dFu4WlJwHPxWPa0XKCf+EQ9R359Nz5TBvFx8qydRh3JD+e9OgwXcUTf8V5/lx95hVHIjQjjHTw4/U35A/fwI77wc+211xZyFVqHc889N7zl9ygIJHkYBZx8NXkIEEhmLmYcvpGSdIlAIpAItAsBhOL6668vmhTEwb6qD3/4w4VstCuNQY4nycMg126fl80MySzCrChdIpAIJALtQIC2gpEoS3COayIOllMRiXStI5DkoXWs0mcikAgkAolAHyJgIuJ0xdFHH132roSxqHnmmac8sxSTbmwIJHkYG17pOxFIBBKBRKDPEGCe2sZoWgYfv21o/drXvpYbI8dZl0kexglcBksEEoFEIBHoDwRciBVLFI53Mndf35jZH6XorVwmeeit+sjc/AeB2GU9GiB2tjfuoh7Nf74bHwKJ8/hwy1C9gwB58tnPfrac4rrtttt6J2N9nJMkD31ceYOadZuZLrnkkqbFc2TzrLPOKke3mnoeYA/3339/2QA2kSIiCKyK3nzzzdUFF1xQjr9FfI66udXU+3SJQCKQCEAgyUO2g55CwODFkNK3vvWt6fLlXHacBY8XTmGccsopxajPVD2R4bw9Y0NXXXVVwFK+2bdoxCs8OAbrDH/dmZmdfvrpxcIgA0HiDefdxz/+8TJrY1siXSKQCCQCSR6yDXQFATNbBl7seubMZhlp8TwcozGs3F122WXxqHw7rulYFUNODM0w/BLOAHnQQQdVn/vc5+LRQH3H8g2clL3urNmy/HnmmWdOhyPiwNoeAtCIl3hY2EO66s5zRoLuvPPOYuGPQaBGd+KJJxZrpblU1IhM/p8ITD0EkjxMvTqflBK7nAYBYD728ssvL6aqWY387ne/O5QfM1/mgOuDJKLwoQ99qJieZk6ZGdxGu/PXXHNNMVPrsp9BcSxnnnDCCdW73/3u6q677qoOO+ywgh0cwzFBzuRvXesCL+bIGbyBFzO/jRbzmDtmtnw4Jy3mfYcjDyx02qHOsuCgONYJ4fipT32qlOu8884r5pQtiaVLBBKBkRFI8jAyNvmmjQjQHhDS7pJgj569e2eumZXmzLCp3w18dYdI2CntHoqPfvSj1ZVXXlk0EHU/TOYa1Axug+KUyT0kLi9zv4ABHz5uFuXM/hExBKPuAi/3DwRe9913X4VgfeYzn6m++MUvlrshhP3Sl75UNpHdfffdQ1GI310Bw5EHJMV9CINkTMd+EabQ3dHAkimsWTW99dZbhzDJH4lAIjAjAkkeZsQkn3QIAYZYkIArrrhihhSozFl5M+A1OrNhl/eMtN5uP4SLgeyXGCRn9osEOFbGIQaxzAMvl/+YKTc6eLkMyB0A4Wh1XD5E++NCIhcdGTQ9+8IXvhDeKnb+XaDkTpJGh+C5aCjy0/i+X/+3/8M+D5tC3f2gndWXxvq1XJnvRKCTCCR56CS6Gfd0CNjTQCX+jW98Y7rn/iGs3Yx48sknz/DulltuKbfwWcsfzhH+bsa75557hnvdt8/g5TZEhmwaHRO7tC2Nexf4gxc8aHvqjrYCAUEaLAUhIo37F9SNmXfjhkrxICw0D1/+8pfr0fb970cffbTctDpcu+z7wmUBEoEOIZDkoUPAZrTTI2CQuu6666rFF1+8zJZtfmw8DeBSGjNhA1zdOZftGt6rr766qO2pzWPjJX833XRTUekP0p4H5bIfxLXIyk27Uh/oDfzHHXdc2RhZfy5cLD04gQE7uNugGs7V0q5ob3Q0HfaTICyWN9xEWo/brabU+pZUBsnZWOqadlghsaHdGaQyZlkSgXZhOkreAAAgAElEQVQjkOSh3YhmfMMiYNZqt/5OO+1UNkvaCNg42Ltm2wbAxhmgGbQBz4x4q622KjffBXlwLe9+++1XXXrppcOm268PnUw56qijqnXXXbcs2RxyyCHlCuJ6eQzu9o/Y01B3iIbTFoGXfSSBF39sYwxnR+MTn/hEwX+LLbYo6/8IRmzGpOk48sgjS9g6oain24+/levwww+vllpqqaL5UmZLF+kSgURgdASSPIyOT75tIwIEtXXzP/7xj0VADzfDu+GGG4oWofEKbgKdfYK6Kh75IPhtLGzUVrQx25MSlQH6ySefLOW1/8Dpizi2Wc+QTaiIQqM2IPAabp8Ijc9weKkXS0O+HQP1UUf82+DqiKd3g+RgSvPgY5MkbU+jRkx5aSSGez5IWGRZEoGxIJDkYSxopd+OI2CwcrrCyYBmzlq1zXt1lXyzMIP23oDm2GXj8dV2lpN252Mf+9iIG1bbmVavxYVk2ePhiPABBxxQffvb3+61LGZ+EoFJQSDJw6TAnok2Q2C4mXGzMFP1PQLB4Fa69iKAyLKRYVnsxhtvrE466aSyhEQLlC4RmOoIJHmY6i0gy58IJALDImADKZsXbGmwiWFDLzslw51+GTaCfJgIDDACSR4GuHKzaIlAIjB+BL7//e9XCyywQHXooYcW42WOt1q+YZUyXSIw1RFI8jDVW0CWPxFIBIZFwGZTJ1acwHCChVluhqRy38OwcOXDKYZAkocpVuFZ3EQgEWgdAZsl119//XKM0zFjJ05oJNIlAlMdgSQPU70FZPkTgURgVAQcmXX/xyBdCDZqgfNlItACAkkeWgApvSQCiUAikAgkAonAfxFI8vBfLPJXIpAIJAKJQCKQCLSAQJKHFkBKL4lAIpAIJAKJQCLwXwSSPPwXi/yVCCQCiUAikAgkAi0gkOShBZDSSyKQCCQCiUAikAj8F4EkD//FIn8lAolAIpAIJAKJQAsIJHloAaT00j8IuBPDDYidcm5hHG/87qCIOzvcmtmNWxql1ytXaLvp082qHBz9jptV3c3hGnLOs+FuEC0vG/4omyOUjde7N3jr+r9uOb399tvH3VZazTCsGLNqZ/nF+be//a3EGe211fyM5k97f/zxxysX2o2lfpVPmMZ+p724cfZnP/tZ0/i0LzenMjnOuUzPLb2NcY6W/8Z3wsqXm2a1Q9fXi3ei/e3HP/5x9YUvfKHcqtuYZi/937PkQcP46U9/WhqHCgJofJy77oRz4c1wVxhPJC0d0RlxZm1Zp3vooYeqxx57rPrzn/88kWinC3v//fdXH/nIR6qvfOUr0z33jyuWXad8xx13zPCu2QOd8swzz6y++tWvNvM64fc63uWXX17KER18rJH+4Ac/KJcYuWWyVeEUaTA57GpvOI50S6frmo866qjqLW95y5gNBcFw9913H7ot9Itf/GK1zz77dNTU8VVXXVXtu+++5VKnKOdkfbtK/U1velN1+umnF9KkXR188MHl2m9t9PWvf33F/LN6+/jHP14dc8wx012/PlK+v/Od71SvfOUrS7wj+en2c4MH3Oeff/4ysHUyfX2eFcy99tqrbTIFqdMXNt5443JFebvyT45vtdVWJV7toRVHLhx44IHVqquuOgOW+vs666xT7bDDDiP22UjDLb1LLrlkdfbZZ5dHn/vc50q7QfDG68j11VZbrTrvvPOKBVKy4Z3vfGdp02ON0zjBaTtHH310Neecc1Y333zzWKPpqv+eJQ8IgkFPo9lyyy2LUCd4WHnbbbfdCstrF1IqTkPcaKONqmuvvbZd0RZB6Fa+rbfeutzIZ1Dbf//9q3XXXbe666672pYOAbrssstWb33rW2eI88EHHyyX+Uh7rO7ee++tll566SKYxhq2Ff9mNWY4HCHx3ve+t5pvvvmq733ve60En8EP8rfhhhuW9hGdcQZPwzzQYU888cTqda97XbXjjjsOy/jNbtUdobPLLruUi5KGiWrER7BcfvnlSzvg6ROf+EQR+shku5xy/PrXvx7Sbtx2223V4osvXn30ox9tVxLjjsdgYeBAEOTzoosuKnkzG6SR2HvvvauzzjqrvPvUpz5VsDLYNHNwVeef/exnm3nt6nuD1SGHHFIGlWYJmwHfeeedzbzN8N6Md+eddy5tytX0obmZwWMLD377299W2ou68bn++uurRRddtK2muPV3Eyjyr9VbYPXjK664olp44YWrH/7wh9OVhCbDQIs8hEZrOg+1f0wK11tvvaGr67/1rW8VufaTn/yk5mv6n2Sn9jWS0z4RYAROXs4555xCgmE5FkdumUxE/ZmkICT6ci+7niUPQDOgYJYuponBQEcz8yN0hnMaPmHku1VHxbjttttWL3nJS9o6S9MgXvWqV5VOGXkxWCjTNddcE4/a8v22t72tOvbYY2eIC240E+O9zMds2Qy5E+6WW24ZmgmI/7777qte+9rXVjrtSC7aQeP7UK+aMQ1Hohr91/8nhDfffPMiKGkdhkvD4GRmwQ33vh5f4+/I26677lpIsPfaNg3UWDUkjXHX/4cb88naPydu5br44ovr3qb73UpfQfCGE87D9TFljee+47c4qKxD40aruMwyy5SZrTDujoAJR2Aj8vwHdtNluvaPuqC5iCWgevre1fGt11vkS1SRbi3aoZ/iffrpp4tg1za0lUZH6D/zzDNDafmfTBlOi1nPg3jk1wD4/ve/f9R2JZw06nmlGaR1GG0AbMxbY979L24TM2Qn8Ib9KqusUiZVsKrnu/5/qP09U29kTWAurl/96lelfsLfZZddVm222WalvmEZ6UW+kEwyMtqw57SmJkc0z5y04KveTzvttEKghmuf/MIL8VcX22yzTdEAC6/v+US5xGWwjvYp/cMOO6wQb37k3zv5lW/vxYlARNpkOjInHu8jbu+FEYe0taMgCtoXbSfyLD75pXmVnwgf+UUyAkf5iHTFFfEVgLr0p6fJg0ZIneliGg5b1DiB6PuCCy6oTj311OqSSy4pFaJznXzyyWWG+O53v7vMbqICRsNTZRrIMO0bbrhhNK8tvxMnAUhrEp0pAl999dVlpqGh3HjjjWVt1MzDtb+ELOZ5/vnnV5///OeHBn2zcY1MA7300kuL+lsHCoc8HH744SUu9vhjaYdazoyOoAlHy0I1LC6NGkbs9VNzEwAaaziNmlBpdDrSrbfeWvzr1OLCuHWACy+8sPrGN74xVG7xqzszygceeKBEJX9mouJGCHUGaa+55poFE/HBJPICQzMjGhQDeX2N96abbipt5NOf/nS13XbbjUoezF7M0uQxzA1TD1J9u3q5jlOUGTabbLJJiduMjHbK5UjypF4MzvzIl7VKdc/p6IQljYqZKNKoLhA5AwaNgPLBT13fc889pW6Voz4zi2UvZJQg1X4ahYX62G+//aq11lqrtGFpSJ+gPuWUU0repBck0jv5pWa1hDCSGlkdHHnkkdW73vWuIY2Q+tRuETXlVXZYGsTe/va3l7KoT7On448/vpRF3b/hDW8Y0rjBD+bqA/5bbLFFmWHCTXvQDoQ3U4WNfiF+/+uj1M+WudSjyYVBSriDDjqoYC19bZwc0Mb1FXJEmdV/9BXtDKkTb9Rb1Ltv7ZZGyrIAWQMvaYYQl3/xHnHEEaWetWvr8FT+iJx80DLGtd7igFvMKl3vbXlj++23L+2h3q4jH9qCdqPNKJ8w2p6lUGH33HPPYTUXyDi5IB/SD5kQ8ca3fjdt2rRq0003LbgicvBceeWVC6lQPuRGGyFjxeVDi2R5xmAHa+nIn3zJn7axxx57VG9+85uLdkS70R8QHhjQIusbgbu+Jb+WrExYYoJIzqywwgpDcgKGtM/SJ2PFH/URZfJtnKAtVGcnnXRSmcipexgLYxlN2mSWdqv/0GKQUWTsQgstVNJRDn1PHZFXNMnyKO/uPdH+OTJPW9HfaDLJcHiRx9o3+Q4ryzAwlWd9f/XVVy/LHzBWt9qjCTLSaoygvdbG4Qs39cOf/MLAO3JaW+ym62nyQGBQSVIla0CYYwzuBILB1JW5KoUwJeAAqfI//OEPl85QF8KjAWsmtMQSSxR13Wj+Wn2n4SIjGspITqNVNv4MLASmgdDsWwfRIHQi7NTAqaw6uMFKI9KYdXJOw7LEo1EiXDqNcF//+teLgCHwOAQBOyZ8YauhS9Ogo4MZbK688sri1x9+xd3oCCJ5f/WrX12E2hvf+MbSQWg/CBACAiHjdET5IWAIDAMugrTYYouV8hDcOrR6W2qppUq51aP1RB2SM/gQGOr6gAMOKGkSUAYheOngiBLV5EiaBwOBNoRsGtQICnXguXIQJjployP8V1pppYIN/OABJx0bvsqBCIlTHcoLp9xUtAZaH8sWymqgJ3QJPoML4eMdwUPoKAN/HEzEQSWq3JYhaIMIlroj2BEnMzRtX3sWtzQQH/UtXoMcIY6gqD9EUhtFEOBZdzQZhB6ygvzQYiAfhCEcPYel5wZ4eZAW4YcUEZ7KpY2aTdI0wI9DgtS1gcssixC2TMmZEa644oqlvSg/IalM8qpNWLtee+21y6AgLwsuuGCpe5ggKMolfW1GmvoiOeD5csstVwZ/bdSSnJmrAU39q6NGp31ssMEGlfZtlqndrrHGGkPlhY8lGHk2iBtU4HjccccVbaY6gCMc9N0gUfoah9SoF7Ncwr9xEFRX/CIv0tD39VtkDUnR9g3kw+0TolLX3wxQiIDJ1nDOYKR8+pe+SZaqM4RCW9fn4K4Nme2SPXPMMUdpb9oi2SIf3/zmN0ubCG2rdkCW6MP6BnlkCUIb9hzeCKRwygYHzwzo+j/ZF31cPSKHZBWNiHySGepRGYfDDaZkpAFc3ZFxZBAnz/qqPqwNyas2qg3q09od/+oRaVVP2jwZSwOpvZPJ+qZvzre6QYa1OXLIGGVCom+T6bCFH7zl3xgnn3BUn8ouj2S4/gQv6Sq7PJBRCJDf0kJkYEKeIMQw7pbrafKg0nVUnc4aMUBjMAGQ31gbImHWFmrQAE8DiZlWPBvpWwcbiTwQAIQGAmN/gcGG0MPs4xPPdTSzGbNFg0oICekacAkaA4FZINWgWawOJG5MW6fAbgkHzFZH0cg4HYFA5nSq2AvifwOADqDxiNMgooFxZkExW9fJCTBOnjV0eSFopGNQxP7Dee4znDOg6PAELE0QYXzdddcVrxozLZCBQZqInU6JJGnkhKJOj7zAl4MpIcuf9/JCMMJJRw8yot7honwGQ7OIcGaaBtlGBy8d1HtOJzVg6YgcIhHYlgcNf8RJkHBmvIRBqDENLtonp874lZ6OHul5h4gZBDnpas/R2Q1sysqZcSMjnHi1cRhJFw7wCI1M8fSfP/IvHOw4gl7dE/ocQkLgEEqeG/gMKPLlQ9Vad/JqAKHSRkqlre0TWNpTOLjaC8IZPM02Oe1LGPUk//BGOLggfaH90XYJV47gFU6f5NS7sNoSwc2vNkc+eKYthACHv7Jw2pO2RyhztFZmoZz+bEAM8m3g1A+GcwZu7TScAdXMEEkUR8zo9Xt5kSezRW1K/aoPxI72gKPp0fZhop14Z7Y+nEOIyEByg1NHBjV9T3j1qF0M58gUZM2sGeGS7kgOuVfH4dQZAhd7s0xkgpQb7E0O1JNB22ConWgvcNInESFyQxyIAGzggGzKs0FTWZQNkfDcwByk2CRRWNpMclF7UFdILlzhxmnT6jtU+JH/GDuCMMHK0nTUsX0K2pQ+TFaTO/orMqlcwhvgTQA4eTfIk2PhkELEWZ/g4CKOaG/CSlMb176i7+vTyhByXb+PdimeIAzKS66Tx9Gnpa89IsPIlXbGkRnaVGMfLi879KenyYOGpEFpMByGFaos/xMqGrGKxh4NmADXUMxsNEAVGg1tNAxHIw8EgMZNRUQAEKYEtYYYH881ZB2QgCOc5IcwDadixTPPPPOUWQohoxEbUDVizqBmYKHC0hh0rniHLMRgxy+SQYhx1G6x58HsmRDTaA0yZp+EO/aNqEiz7sxaNGjCWyeqN2QCINb662H8JtA0ZA4zJqiRH05eDLYEuM1OZtSEnDA6K2fQjw7lfzNLQkKn5HQw5MtAQ/iJi8PkzRSp1PnRqcONRB50NphEZ4OLgVYetQ8DOVI3kkOGQriqQ4OweiE8CUPtjxMfvwitthkzHe8IuShvzC60VQ4W4Vebkh8CgxAWv9MaMFXW4YiDOORfG4k4CdTQVHlv8EAYqMzNRJWHoDNQIBSN8RoEzPDNwrQlRFwbQmZiUJFHM+46eYj2Y0AXXnpwQjQDpygXIsRpx/oXpw/r99GW+KUxQNTJAoNROCRCWwgBrkxBfoO8iI8zyEVYbccgHOnTbhDAjU7b0A/rG47Fob60JeTBzJ0zUBvw/O+dcMKrD+00CJfZKLJIrviYWY5EXGFnUhSDmAEH/iYA8ZvmpNGpS+RGucySQ3PQ6C/+12ZDfnhmAIVrqOQNfpZNOPKFzIpy66PkFDnMqWszbG0G5tqvMqg/REGbJOe0OfkyGZBHdR5x0LBIn4wUjmxRj2SeDcvRVsli/0uz7oQTd2hc1QGcg6SRgSYA+qk6QGq1Y1oTaWjr5IN8cNLzXPuKtIM8GGs4Y43+F/ILYZKGdmygj0mb/q3+Q67TypCzQRCQB6RD2zQRIds577VtJE7dqzMkkjP+aJMRpzxGPouHDvzpafKgYnUUDTBcAOx/AsNgY2AwwGhssWato9IkYMLCaFyjkQjhDFAISjjgNzLaeDfad1ScSiek67tv/ZZODGKEKSEWjJE6WScyGGPNykd462hUwtEApU8ghaA0G4rOT/shnAam7AY6wt0MCaEJISYO6QqnsRIYOiLhH50Y+YkZd2OZ5ZUgUF6CQgcPYSNOmgdx0kiEgFMPysYRrjo/J5+EhHxTuXPiloa44RjHqpBC6kKkh+Ayc4t6MrgOp3mQrs6FxHCEi7ZFKMs/jGKWUjw0/KkLV+SBtiHIgwE5BIi2yi9HGNWJjVlJlJc2gFAlZDm4x6ycgKN+52h0aJwMrPJnsBzJESCEl3YOD0JRmyGYOXkzSMOatgD+1LbiNDsl0OsONoQ+UidOa9LaIiFcF6pwjZkxQWigMbMk2PRJQhDeyBthLn0kRP1qH/JKUCN+0vFMWwqyaMBRP/JJyAY5kVdxh7bK/0i3/Ejf4GkwFx9n8AuyTXYgd/IhTfiPRB70sxg04KXeqLcNEtoh2QNrdU2wq1OE28zWIOSdOIK0Iw/q1HODmhkuUokoBNEpGa6q4odWgEaFfwOUPmKyQ5aQFdojTOsO3vYJ6B+hvZAnEy7xNLrY20RGwAuphCuir3+o8yBQBkXYyS9H66uPw08f1u8RAnWhr5Mx+oLy688IJXmmn5NH8qQetQdaU7LHYBuYm4jpq+qKfBZe29D/yD1th6yrO3lW37Rg4kOQERzYkwXIGkJqqUJ5TMq0A5pTeeVfH9Tn5E05xKX96SfwpiHVvkOGKLMwMJAG7MlnJAu+2jdsySf9NLQs+gxtGpIMS23BmGCiTCZoO+rbe1o/Y4axUVuOulcudQQH78g5k4mQi3Vs2vW7Z8mDCtJRHN0j6KyJ1TsIUAgnm1pUGmGhwekgKssz69Q6tncG8hB4jeBp3OKabbbZilDQ8TiNgtooBtLGcM3+11A0Jmp6gsYgiMwoEyFKyGjg1gA1Wg1eo8Z+NVqNzDsNz7qbuDReApywJ8QIdvFiuAZRvzVS4QhIOIiPhkCH1VCFs1yhIxvMLA8gDzqDQZHQM1jp3AQbYdw4aMFExyC8pKmRI0Vw1PHMnLFr2KoTHR5pkbcgLzqjgQbTlk9ltv+DhgIJMXCpN2kR1gQoQUOYRl3CWDrUjTF7IdB1tEanfMoJO4QIJuI2kyIExDvc2rG8iFNYndvME5kh6GDsNzJIyCgTfGFixoEwEExmG8isQUqblGeCU70TEgZLeZK+9gJX9UxQwJV6lBDhR18YzsGEQISF9kUoEuoGW8JWXRL6CIkyqWsCSL/hPzQWETch5B2hblCkMiXwkAjP1QVSKM0gKIS7wY1/QtjSHY0K0uu5cMqIzOqfwiGD2i/hp594T7hS5yIA2ggc9AHaC35pDsgDA5Y0zArJDKp66ahL/UZ70q4IdOXwgQXhKn35UP/C8N9IoKThOeyUw4CgDFEHSJM2ql7UvUFX3esb+o01fMTSwAU/fUO/1h+0Aw6p856soS1pdNqH+AzGZCHMDE7Krl3KTyPpIB/FByv9Brbam3omZxoduaMP0FRoN+QUGeJbG9XGYaDd2GdAg0lGIFMwUk/auvYNEzJUG5c3MkbelVefo7Uw6NHUao/aOyKg7hAw/5OLZI5ywFb9qMcot/qWN+1EfCZMjQ5xI3uER0T0Me1dfZjckJdkvDZM5tG88qf8ZLO8aG80cMg+kmKioP0rN/z1SaRKXyGLTRy0Edjod9odR8bRAGtL6hCR9ozTRqSvnesn2gliDyPxqjN5QJS0QXnTZpWdX3IGHv733ERYfSGo5G+nXM+SB4JCBwc20Ax0KiwcJqhTaIwq3cCIiWtQZssagUYPaAOECqvP2iMe3wSWyiHspBUdmNAnEEI9Vw/T6m+Dm8YlPwZOs0pMWqXqHBqlxhYCgRbFM2XiT6cj4MwWDF4Gf36x05jt+paGZzqogUo4jVxn10gN7gQ/DOGgvPxj80ha4KjBanQaNFzgaTCKdbwot1mHzi+fBLkBmZDQiQ3cGjmBJE1lMis2oEg76pGw0IEJT2HgLd/Ig0FImaRBCCCAcBCP+jFLCGewMbgor44PHwNvoyPkpKPTW6YJjZDyEyDqhnBvdEiUeKULBwQCrtqgOoIvMgYv8Zgp+83xD3vlgZH3BgNCRRyEvsFcGO1VnOLz8V59E2KIAawNfmZ2wzlYw09bI0C0C1giOfCgVve/vsVJ2zNlqONZj5tQRxJgW5/dEViewQSxCTInLHwQAmRKmbRJbV09+ahLeRAHbA00nmtT3hkw9BsYmq3G3gd+4QJDBEB9KiecYCgc5395E59vOJAPwhDw0pK+eGGgfYnbM4NT3SFU0e/4l2cCve7k1Qwd/hwsyR0f/VYa8qTOpWXJRzyec3CVT3WkTMM58kKY6If8KQeM5Tv6VD2sfmfpSJuGv4FFfQ7nhNeGpSHf8ISVuIWXf/jJf7RdfupaDOmFrJQ/+MNVe4CNeD2Tb3UebUKc0f5gC5eIF9HhT7iIW/6FUXb1yn9g31g28agfcQiD9MFAW4n6gT85qHzKG3kRhhyknVC2aKN+K1/E4Tv+Fzd/sDHuhFMOpFI60vNemTjvPJc3aUe89bYoLyGvhFFe4ZXJbxjAw29lVo/6j3x1yvUseVBoHdc3cBtnRfEs/Pk/nAbVOIPQORrjCP++I7zvAFwlEGbtcBrqcB18LHEbaKmn2uGivBFXdFb/t6vMEfdo3+opOuto/qbiO+1wjz32KGSBUFIviFwsT/UCJgY1qlT7KRrbVC/kb6J50D5pkmL/wkTjy/CJwKAg0LPkYVAAblc5sGcqSGtjMftoV9wZT+8iYGZNm0A7RY1PE2GW0iuO5oKq23KaGdegObNOanrqeFqrdIlAIvBvBJI89ElLoE2hiqKGjPXWPsl6ZrMNCITadTTtWRuSGXMUtGnUrFSxdTXrmCPq0QC0KTCnqqY9TJcIJAL/RqBnyIO1rka1/iCqQcfS8EJwjSVMM7/irC9RNPPf7L06G2kdtVnYsbzXPjohvA141l8NfiO5TtRDpKVMtAudKFukkd+JQCKQCLQbgZ4gDzZ9UH3GBsAopE1Ecbwpnk2lbxsE7eyvbxSaSPkNwPZM2O3dDtW3QVX+bDTtJIGgdbHfY6SNghPBxGZCO9ZHituM0zubN82w2+1s7lxkkUWGLKe2M371E/t32hlvxpUIJAKJwKSTB8LNOq4TEjEA2TlqB7hjcI7HTJW1Rpuz6uvGTmc4ygSPdjizbKcVHG2LI0QTiVfdOVblpEbU3UTiGyks8uQESJgvHsmf53aGD3diYqQwdjCzIQDr4RzC4PSCo1TtKCMyoj3HoO4Uh/Tj2N5weRjPMzu9ER6nN9IlAolAItBuBCadPFjHRxDi2IoCEtaO9XFxrLDX1nrbXRHic4yuPgO2zm1zpBlkuxzSwADJeAaVyIfTEerDAEib4dNpZ2mhcVnLwB6DsPTlD5lxdrvuDNg2nNbbkHAGWEs4tF4I7EjOpkBn3C0t1Jd86mkL2/j/cPE5CmsDXvi3XKLtx4mTwNj7eOZ34+khz+RlpHPcjt2xY2DDX7pEIBFIBNqNQFfJQ5wTjvO5CmPGF+an/e8MNAMXVOuEp5k44xcjaR8MCAYVwtXHcbYQ8r7rArgOntm8c/fOqTvHbgYYBMbM1YAhv+wHhN18g5Bzv1Td4ZfVQ2Hlz3Mak/ogRbgT5OIxgHEEurQN5M73O0ONJDBiwsgIjYs8sH/gbH8cnbTUwGAIOw7OTnPOhjPMpBwMtbBfMNKZZ/6lxeCKc/m0EAbaWG+3EZOtBfYZnFs3GPo4V295gg2H0F4wSiKsXfbKbyCHjXP4MHB0D64xoMJBWRlTYhAKvtJodPIufep85WGLgs0A9jd8c/Ir/04h0Eawm8DJHwNc2hP7AgZi+Mi7AdsxR9oD7cRvhnfYpmC9Lu6VKBE1/FEORn3gzPiLuhS39qGOWHKLc+fqC+EdblBH2GiSGNBCIrSDWPZBjpwDp4GTjjpm30Hbg5Xd/mxeBImI9iE8OxL1du58N8NfjEuFGemGIuW/iUAikAhMCIGukAcDCLUsa11meAShQcaAQ8iZcYcj1A0AhDpBKSyrYGH+NvzFN6uBrJgxJuVjQDCgsVDGwhpBP5wzcLPy5fijgcog5Sy3AZ7ANWtj5c83IoPEGMAMWMrgngIC3P9umJMu4a5sBmXOzJZwZ+GMCpnqHUlgHIn1RIMWq2+soBmImIM1wzV4UKczgsXqm4FIWiy2GVhZWq2wKW4AAAjjSURBVGMsSBmEY4aWtUBaC+p1ZRnJ8c9ynLLwJx8xGNq7EPln8Y4hE87gNPfcc5e01YdysoYmfekyOIUweT7vvPMWLGgAaDgiDoMuDZN9HAZi5UZUGh3ywDrgnHPOWUwrax8GUHEZqDltQ/qM2MDffgjEjj8DpgGY4SdxeadNIRji0I4QMG1R/hn+YaEu4m7Mj/+ROWaOERJpqkfERv0a4NWR+lJP0kOctO1Gh5ypNzjAXHh4IMveKYPwYflQO2YhEq76C3/au37B6Jnn9gnJPwNA4ZBzfhn4atd+mYg7vxOBRCARgEBXyIOBlwBnItVlJQZAm+AIS4OlmWg41hUN4nXHzOdIamUaBDNSmyt9/DYD9jEjjllpPb74bQANO/lmkghBDCLIAEEuvDQQAsZwzLzN8gwgCIFZnoE2ZniEuTKyrIaUMDATs1ADnoGWQ4jsFRB/aCTqFyfxY7OoAc9gYUbL0l3M5BGlyDu8YuZsxiqfde1HlNe3wc9g55tjbhW2/CMr8FMfzH7DMBw8LCVRlRuUWJXkYIj8cAZjhAtB4azlw0CemWaNJRl1zm5BaFSK59ofl0DJo4E9Bj/lFd6AC29aDM6M32ALKxooxISmh6PZUA5aEu0PMWL5Ej6WxsIhnyO1L37g4Y4I2gGOdkcZtAOkzuBN2xI2GbSRkVwQ23hPcyV8tAGalGgj2hKCiQxwyCPyA3vlorVDpIRHKMOpW9qlXLIIRPI7EUgE2o1AV8gDNTOBZvZW35hmZmgQpnLnDGAGQrNUgjgGQLN3M7zhnD0TBhWDkW+nCcz8CFO/G09w1OOgUTAoh5M3+eEMzLQX4dgwj30Ynhkw2a6nFqe9MNBxCJHlB6p+mg8kIRyyQWWNqLAc6P+6i7LHM7NTg6E9BdKKC5e8Z2UQGROXd3FbnG/LPPW1+YjPt2ULhAS+nEEwNiKavYYdeCcAqOvDwZGmBjnhJwZ+pCJwEjfNh+UV+UIYzPI5hAMBMItHWMygR3JIIM0AohCOVkQcBkTaBQSDQy6QB5oAJM2gGcsb8qwcygVDJAxpdbqibqlTvoI0Rnr1b+RBuWIzq+URJAlx4dSLpRJtLohLPXz9t3sQ6st08DD4h+0O+Yj3tCfqP8gDbYN7QWhA3NmgXLC2hBYEVVrIOaIkn+PZ21LPb/5OBBKBRGA4BLpCHiRsEHGBTt06ImFOhUvIcWbrZurUsQY0A6BZnMGwLuzrBUFKEID4IB5mmfwjE3V1bj2c2bCZvrTCISgIBVefUfsfmaApCGegRyDMtg1YNBCcAcYyAvJApY50hDPIBAFgKVL+6o7fWHKg9racY40cIeFXmqF5oBWJ2bOBwro4Z2YNU4P3cA5eZu4xK7XsYDYbqm5LJupIGajKY1CTHzN212sHpvJS14AgD+oKKQxtQ1yCBWdlp1lCDqIcw+VRezBoiodTFnUVpEUaQZYQBBghcQiC3wZXexvsIRCPy2MQEXtSLMHATXw0FYitC30Cy+HyY5kJQQzb8tqmuggCRUOz1FJLlc2a2vRoDqFEhuFJkyFPSLX8wwRxQCw55E15lAORpnlyxwtCYDkDtrQfNBGhvYOVtqVeLN9ojwi2/oE4pUsEEoFEoB0IdIU8IABUrsOphg2KcU2yfRHzzz9/sRtAYHLU+pYBhttcNxEACGNaACTBZShmwmbh1MiWKcw0vSfUOem71dLAZwCydu0djYOZrw2QZsE2BPLnpARCYZZtYDcbRowIegO3QQFZiEFcGgYWa/wIhIEbkXF7nc2BBnQaBrNbM0sDiVmnPCAvlhzMQO01ELcBo9EZUGlo7HkwCJklu3HTHgODsD0XBi+q8GnTppX8xvKAuBBABCIGSKp6WgwEBHEwoMPCoCdfZueWDJAAs2br8DC1fIOkDKfeN8irE+lLD4EMggBzA6e6otFBlMTroisDLyIAF+SJNgS2LqSCqXzbNKldGVCdsEDuaDOU2+VOsT+jETd1Jt9wsRkS8QhtGb/SRWiCBDeGr/+vbuFiacJ+B/lE5rQbxI62RvtBStUpbQ9/ysGfNgF/y2iIkf9pxPjnkAfYqJfYZCzf9qKoo3SJQCKQCLQDga6QBzM0g0Ws69YzjhwgFoS6mZHBrS7kzJgMQMMNNPV4xvobeSCkxS1vBpJQ00ufkJd2nLQQv30NBhskiEqZM0gS1HbcWy6x9BFr/t7HrM+sOVTtSBLtiI8BOBwSQ/thEDbAwUZcSAKH1Mgr8kBLw0kfmTH7NVj6jazEwFE8/eePmTnyg+hQlzuxwa/ZL+IjDmWDA60HFXqs84vCwF7XHCFI0vGhuTCoixvRUm5x0ALADfEx2Mu/WT7M6vUc+QwNgXhoOJCHJ598suAAC+857UVZEYtY3vIchgZWA35oX4Q3uNatSFLziw/5k395HmlmDjcaGP5gFO1YmxSPsmq3/DVziBQCKO/CwpBGw3NYB56eIZ/qGbb+V7+Wm2gbfKRrX08sa0TawsWylGdIpfbaeNQ1/Od3IpAIJAJjRaAr5KFZpmxAs6ZdH6iEIRipcBuFY7P4WnlvULIJLtTfo6nRG+Or+zUTjoHQjLA+kNXD1cPUn0+F32b0tBMGerN0JAhhpOXpZ4fgqHvajjph7OcyZd4TgUQgEWgFgZ4gD9Z/qW3NusIZ3C1pjLaxLvyO59ss1GkAG9ikNV5HnWxpQf5jDXy8cQ1qOBoARJBWw34Ba/H2WbRbm9Rt/GhvtB9ajnSJQCKQCEwlBHqCPATgoWb2v5l6JwdjGgJLBlS/VMDjdVT/9ifYGxAq9fHGNejhaB2cUEicBr2ms3yJQCIw6Aj0FHkYdLCzfIlAIpAIJAKJwCAgkORhEGoxy5AIJAKJQCKQCHQRgSQPXQQ7k0oEEoFEIBFIBAYBgSQPg1CLWYZEIBFIBBKBRKCLCCR56CLYmVQikAgkAolAIjAICCR5GIRazDIkAolAIpAIJAJdRCDJQxfBzqQSgUQgEUgEEoFBQCDJwyDUYpYhEUgEEoFEIBHoIgJJHroIdiaVCCQCiUAikAgMAgL/H+j7pQa5RbzOAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:03:59.082672Z",
     "start_time": "2020-12-19T03:03:59.079348Z"
    }
   },
   "outputs": [],
   "source": [
    "from scipy.stats import norm\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "matplotlib.style.use('fivethirtyeight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:01:11.471747Z",
     "start_time": "2020-12-19T03:01:11.468302Z"
    }
   },
   "outputs": [],
   "source": [
    "# SETTINGS HERE\n",
    "Mean\t\t    = 0.25\t# the mean of the (normal) distribution of thresholds\t\n",
    "Standard_Deviation  = 0.122\t# the standard deviation of the normal distribution\n",
    "Starting_Point\t    = 0.05\t# the starting point of the cobweb diagram \n",
    "Max_Iterations\t    = 30      \t# the number of iterations for the cobweb diagram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:01:12.319065Z",
     "start_time": "2020-12-19T03:01:12.188102Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Dvv82XKvV4qqrrsKBAwcAAJ9//jkGsxRUIXHDBsgtLWiZPVt0FCIKUsBdKyaTCXl5eViwYAEAID8/HzU1Naivr0dubi6mT5+OsrIyrF+/HoMHD8akSZPCHpqC5HIhcd06uLOz4c3KEp2GiILUrePIs7OzkZ2dfcF1ffv2RXFxcSgzUZglVFZCY7WicdYs0VGIKAR4Zmes8XphXLsWnuuvh+fnPxedhohCgEUeY+L/+ldoT5yAo6gIOOtoJCJSLxZ5LFEUGFetQvuVV8I9frzoNEQUIizyGBK3axd0X3wBx8yZgMy3niha8H9zDDGuWgVfv35wTZwoOgoRhRCLPEbo9u9H3J49cMyYAfB6OERRhUUeI4yrV8OfkgLnvfeKjkJEIcYijwGar76CYft2tE6ZwpsqE0UhFnkMMK5dC+j1aJ02TXQUIgoDFnmUk8+cQcKbb8J5113wn3U5YiKKHizyKJe4fj3g8fDGEURRjEUexSSHA4mvvw73r38N389+JjoOEYUJizyKJWzcCLm5ueMEICKKWizyaOXxwPjKK2i78Ua0/8u/iE5DRGHEIo9S8e++C80333BrnCgGsMijkd8PY3k52jMz0XaR68gTUfRgkUehuJ07ofvySzgeeoiXqiWKASzyKGQsL4d3wAC4cnNFRyGiXsAijzK6ffsQ97e/oXXGDECnEx2HiHoBizzKGFevht9kgjMvT3QUIuolLPIoojl8GIYPPui4OFZioug4RNRLWORRxLhmDRAXx4tjEcUYFnmUkOvrkfDWW3BOmgS/2Sw6DhH1IhZ5lEhcvx7weuF48EHRUYiol7HIo4DU3IzEigq4f/Mb+K64QnQcIuplLPIokFhRAbmlBS1FRaKjEJEALHK1c7uR+MorcI8dC29Wlug0RCQAi1zlEt54A5rvvoNj1izRUYhIEBa5mnm9MJaXw3PddfDceKPoNEQkCItcxQzbtkF7/DgcRUW8OBZRDGORq5WiIKmsDO1XXgn3rbeKTkNEArHIVSpu1y7ovvii48YRMt9GoljWrQaoqqpCUVERZs+ejZ07d17wMeXl5Zg9e3ZIw9HFGUtL4bvsMrgmThQdhYgE0wZ6gMvlQkVFBZ577jnIsoy5c+di5MiRSE5O7nzM3//+d9jt9rAGpX/S792LuL170bR4MaDXi45DRIIFLPLq6mpkZmYiLS0NAJCVlYXa2lrcdNNNAACPx4PKykpMnToVy5cvv+BrWCwWWCwWAEBJSQnMQVwLRKvVBvV8tbnQvNo1a6BkZCB+9mzEJyQIShY+sfYeA5w5VoRr5oBFbrVakZGR0bmcnp6OxsbGzuU333wT48ePh9FovOhr5OTkICcn55zX7Cmz2RzU89Xmx/PqamuR8dFHaH7ySTicTsDpFJguPGLtPQY4c6wIZub+/ftfdF3AfeRerxfSWYe2SZIE+fsfrp04cQLHjx/HmDFjehSMLp3x5ZfhT05G65QpoqMQUYQIWOSpqaloaGjoXLbZbJ3fGuzatQv19fWYO3culixZApvNdtHdKxQ87aFDMGzfjtaCAihn/YyCiGJbwF0rw4cPx6ZNm9DU1ARFUVBXV4cZM2YAAPLz85Gfnw8AOHPmDIqLi/HII4+EN3EMM5aVQYmLQ+v06aKjEFEECVjkJpMJeXl5WLBgAYCO8q6pqUF9fT1yeZf2XqM5dgzxb7+N1qlT4U9PFx2HiCJIwCIHgOzsbGRnZ3f5mD59+qC0tDQUmegCjGVlgFbbcQIQEdFZeEqgCmhOnkTCG2+g9Z574O/bV3QcIoowLHIVMJaVAbLMrXEiuiAWeaQ7eRIJlZUdN1Xu4jhSIopdLPIIp3npJUBReOMIIrooFnkEk0+fhrx+PZx33QXfwIGi4xBRhGKRR7Ck0tKOrfGHHxYdhYgiGIs8QmlOnULC5s3wFxTA95OfiI5DRBGMRR6hjC+/DEgSfE88IToKEUU4FnkE0pw4gYTKSrTeey/ArXEiCoBFHoGSVqwANBoeqUJE3cIijzDaw4cR/8YbaJ08Gf5+/UTHISIVYJFHmKQXXoASHw/HnDmioxCRSrDII4iupgbx27ahdcYMXuGQiLqNRR5BkkpK4EtNhePBB0VHISIVYZFHCH1VFQz/+Z9wzJoFJSlJdBwiUhEWeSRQFCQvWQJfv368FycRXTIWeQQwbNsG/b59aHnsMSA+XnQcIlIZFrloHg+SlyxB+9ChcE6aJDoNEalQt271RuGT+Prr0B47BltFBaDRiI5DRCrELXKBpKYmJC1fjrYxY9D2i1+IjkNEKsUiFyiptBRSUxOaFiwAJEl0HCJSKRa5IJpjx5C4fj1c//Zv8GZliY5DRCrGIhckefFiKFotmufPFx2FiFSORS5A3O7diP/wQzgefpgXxiKioLHIe1t7O5Kffhren/4UjgceEJ2GiKIADz/sZYl//jN0hw7B9tprQFyc6DhEFAW4Rd6L5O++Q9KyZXBnZ6PtV78SHYeIogSLvBclL14Mye1G0zPP8HBDIgoZFnkv0e/ejYStW+EoKoLvyitFxyGiKMIi7w1uN0x/+AO8P/0pWngfTiIKMf6wsxcYV6+G9uhR2DZvBgwG0XGIKMp0q8irqqqwceNGyLKMiRMnYty4cZ3r3n//fXz88cfweDwYOnQoZs6cCQ0v/tRJe+gQkkpL4fztb9E2dqzoOEQUhQLuWnG5XKioqEBxcTGKi4uxefNmNDc3d643GAxYunQpXn75ZTQ1NaGqqiqsgVXF54Pp0UehJCSgedEi0WmIKEoFLPLq6mpkZmYiLS0NJpMJWVlZqK2t7Vw/btw4aLVaaDQaXH755XA4HGENrCaJr7wC/b59aHr2WfgzMkTHIaIoFXDXitVqRcZZJZSeno7GxsbzHtfW1ob9+/dj/gWuHWKxWGCxWAAAJSUlMJvNPQ+s1Qb1/F5TVwfd0qXw/+Y3SJw+HYk9PNxQNfOGEGeODZw5hK8b6AFerxfSWSUkSRJk+dwNeb/fj7KyMkyYMAF9+vQ57zVycnKQk5PTuWy1Wnsc2Gw2B/X8XuHzIX3aNChxcTizeDH8NluPX0oV84YYZ44NnPnS9O/f/6LrAu5aSU1NRUNDQ+eyzWY75yuKoihYs2YNBg4ciFtvvbVHAaONcc0axH36KZqeeQb+vn1FxyGiKBewyIcPH47q6mo0NTXBbrejrq4Ow4YN61y/bt06mEwmTOL9JgEAupoaJL3wAly33w7XnXeKjkNEMSDgrhWTyYS8vDwsWLAAAJCfn4+amhrU19fj6quvhsViQZ8+fbBnzx4AwKRJk3DzzTeHN3WEkpxOpBYVwZ+RAfvzz/M0fCLqFd06jjw7OxvZ2dkXXFdZWRnKPKqWvGgRNEePwlZZCSU1VXQcIooRPEU/RAz/8R9I3LgRjpkz4bnpJtFxiCiGsMhDQHv4MEyPPQbP9dej5fHHRcchohjDIg+S1NqK1AcegBIXh4a1awG9XnQkIooxvGhWMBQFKfPmQXv4MGybNsHfxXGeREThwi3yICS+8goS3nkHLY8/Ds+YMaLjEFGMYpH3UNzHHyN58WK4fv1rOGbPFh2HiGIYi7wHtF98gdSiIrRfey3sK1cCMv8ZiUgcNtAlkr/7DmkFBVCSktDw2mtQEhJERyKiGMcfdl4CqbkZ6ffeC7mhAba334a/Xz/RkYiIWOTdJblcSCsogLauDg0bNqD92mtFRyIiAsAi7572dqQ++CD0//u/aFy9Gm233CI6ERFRJxZ5IO3tSC0qgmHHDthLSuDOzRWdiIjoHCzyrrS1IfWhhxD/4YdoWrgQzsmTRSciIjoPi/xi3G6kzZjRsSX+3HNwFhSITkREdEEs8guQ7HakTZ+OuD17YH/+eTjvu090JCKii2KR/4jm1CmkTZ4M7dGjaCwtheuOO0RHIiLqEov8LLraWqRNmQLJ5YJt40ZeV5yIVIFndn4vvrIS5t/+FopGA+s777DEiUg1WORtbUh54gmkPvooPCNGwLp9O7xDhohORUTUbTG9a0VbVwfTnDnQ19aipagILfPmAdqY/ichIhWKzdby+5G4fj2SlyyBPzERDa++Cvett4pORUTUIzFX5Nq6OqT84Q+I27MH7pwc2F98Ef6MDNGxiIh6LGaKXHI6YVyxAsa1a6EYjbC/+CKcd98NSJLoaEREQYn+Ivd6kVBZiaRly6Cpr4dz0iQ0P/UU/OnpopMREYVE9Ba5zwfDX/+K5BdfhPbIEXhGjEDjmjXwjBolOhkRUUhFX5G7XEjYsgXGP/0J2mPH0D5kCGyvvYa2X/2Ku1GIKCpFTZFrDh9G4qZNiN+yBZrGRniuuw4NTz3VcTSKRiM6HhFR2Ki6yGWrFYZt2xD/7ruI27sXilYL9/jxaJ06FZ7Ro7kFTkQxQX1FfugQEt96CwaLBfqqKkg+H9oHD0bz/Plw/u538PfpIzohEVGvUk2R66qrkTpzJrTHjkEPoH3wYDhmzoQrNxfezExufRNRzFJNkfsGDoR30CDg97+H7YYb4LviCtGRiIgiQreKvKqqChs3boQsy5g4cSLGjRvXue7EiRMoLS1Fa2srRo4ciYKCAshy6K/F5U9PR0NFBcxmM3xWa8hfn4hIrQI2rsvlQkVFBYqLi1FcXIzNmzejubm5c/369etxzz33oKysDMePH8dnn30W1sBERHSugEVeXV2NzMxMpKWlwWQyISsrC7W1tQCA5uZmnDlzBtdddx1kWcaYMWNw4MCBsIcmIqJ/CrhrxWq1IuOsi0qlp6ejsbERAGCz2WA2mzvXpaWlYd++fee9hsVigcViAQCUlJSc85xLDqzVBvV8tYm1eQHOHCs4cwhfN9ADvF4vpLOOCJEkqXMf+I/XybJ8wf3jOTk5yMnJ6Vy2BrGP22w2B/V8tYm1eQHOHCs486Xp37//RdcF3LWSmpqKhoaGzuWzt8IvtC6dF6MiIupVAYt8+PDhqK6uRlNTE+x2O+rq6jBs2DAAHV9d4uLicPDgQfj9fuzevRujR48Oe2giIvqngLtWTCYT8vLysGDBAgBAfn4+ampqUF9fj9zcXBQVFWHVqlVwOp245ZZbMHTo0LCHJiKif+rWceTZ2dnIzs6+4LpBgwbhpZdeCmUmIiK6BJKiKIroEERE1HOhPwUzzJ588knREXpVrM0LcOZYwZlDR3VFTkRE52KRExGpnGbRokWLRIe4VIMGDRIdoVfF2rwAZ44VnDk0+MNOIiKV464VIiKVY5ETEakci5yIKEw8Hg9Onz4d9r8nYm/1Fgl3JeptXc38/vvv4+OPP4bH48HQoUMxc+ZMaDQagWlDo6uZf1BeXo4vvvgCpaWlAhKGXqCZt2zZgk8++QSyLGPOnDkYMmSIoKSh0dW8NTU12LBhA9xuN6655hoUFhZGxf9lp9OJsrIyHDx4EKNHj0ZhYeE560PeYUoEcjqdSmFhoWKz2ZTGxkZl+vTpSlNTU+f6p59+Wtm3b5/i8/mUp59+Wtm7d6/AtKERaOYdO3Yo7e3titfrVYqLi5Xdu3cLTBsagWZWFEWpra1V/vjHPyqzZs0SlDK0uvM+L1myRGlra1P8fr/S1tYmMG3wAs07c+ZM5fjx44rP51MWLFig7Nu3T2Da0HG5XEpNTY1isViU8vLy89aHusMi8ktfLN6VqKuZAWDcuHHQarXQaDS4/PLL4XA4BKYNjUAzezweVFZWYtKkSQJThlagmbdt24aCggLo9XpIkgS9Xi8wbfACzavT6To/9nq9SElJEREz5AwGA6699toLftccjg6LyF0robgrkdp0NfPZ2trasH//fsyfP78344VFoJnffPNNjB8/HkajUUS8sOhqZq/XC7vdjp07d2Lv3r0YOHAgCgsLkZSUJCpu0AK9x7Nnz8aKFSug1+sxduzYmDiuPBwdFpFb5KG4K5HadDXzD/x+P8rKyjBhwgT06dOntyOGXFcznzhxAsePH8eYMWNExQuLrmZuaWlBa2srsrKysGLFCpjNZmzdulVU1JAI9Hm9Y8cOjB8/HlOnTsXevXtj4o5B4eiwiGzAWLwrUVczA4CiKFizZg0GDhyIW2+9VUTEkOtq5l27dqG+vh5z587FkiVLYLPZsHz5clFRQ6armZOSkmAwGDBs2DBIkrspNOQAAAFVSURBVIRRo0b1yhEP4dTVvKdOncKRI0cwYcIEDBkyBKNGjcIHH3wgKmqvCUeHRWSRx+JdibqaGQDWrVsHk8kUVfuLu5o5Pz8fK1euxNKlSzF//nykp6fjkUceEZw4eF3NrNVqcdVVV3XuL/38888xePBgkXGDFmheq9UKu90Ov9+Po0ePRtVutIsJR4dF7Cn6u3btwltvvQUAmDx5MgB03pXoyJEj59yV6O677xYZNWQuNvPVV1+NhQsXnrM7ZdKkSbj55puF5Aylrt7nH5w5cwbFxcVRc/hhVzN/++23KCsrg91ux+DBg1FYWAiDwSAybtC6mve9997D9u3bodPpOueNi4sTGTckXC4X5s2bB7fbDY/Hg+TkZEyePDlsHRaxRU5ERN0TkbtWiIio+1jkREQqxyInIlI5FjkRkcqxyImIVI5FTkSkcixyIiKVY5ETEanc/wPhsPrlHGOlrQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "Z = norm.cdf(X, Mean, Standard_Deviation)\n",
    "plt.plot(X, Z, 'r-')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:01:12.901274Z",
     "start_time": "2020-12-19T03:01:12.898401Z"
    }
   },
   "outputs": [],
   "source": [
    "X_List=[] # prepare a list to collect the x-coordinate data \n",
    "Y_List=[] # prepare a list to collect the y-coordinate data \n",
    "x_point=Starting_Point  # the x coordinate of the second point is the same as the starting point "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:01:13.585539Z",
     "start_time": "2020-12-19T03:01:13.578687Z"
    }
   },
   "outputs": [],
   "source": [
    "for i in range(Max_Iterations):\n",
    "    y_point = norm.cdf(x_point, Mean, Standard_Deviation)\n",
    "    X_List.append(x_point) # record the x coordinate\n",
    "    X_List.append(y_point) # the x coordinate of the point on 45 degree line\n",
    "    Y_List.append(y_point) # record the y coordinate\n",
    "    Y_List.append(y_point) # the y coordinate of the point on 45 degree line\n",
    "    x_point = y_point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:01:14.192390Z",
     "start_time": "2020-12-19T03:01:14.188772Z"
    }
   },
   "outputs": [],
   "source": [
    "ymin = min(min(X), min(Z))\n",
    "ymax = max(max(X), max(Z)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:01:16.600411Z",
     "start_time": "2020-12-19T03:01:16.435162Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2dsydO5czZ84o2klcXBybNm1i5syZzJw5E39/f16+/N+iYitXrmT48OH4+Pjw5MkTLl68mLOjEUXKtWuGrFhhSadOsTJ6SGTo1q1btG3blps3b0qROJcUnRns3buX0aNH8+GHH6rvq1mzJmvXrqVu3bpvff7FixepWrUq9vb2AFSrVo3Lly/TqFEjAIyMjNSPTU5OxsbGJlsHIYqelBSYMMEWG5sUpkyJ0nU4ooBJLRLPnTuXkSNH0qtXLykS55KiZBAREaGuH6R6//33CQ0NVbSTsLAwnJyc1LcdHBzUo5QAhg4dyqJFizA2NqZJkybp9gUQFBREUFAQAHPmzMHR0VHRvjNiaGiYq+cXNoXxeDdv1ufcOUNWr06mUqXsLxdQGI85t4rLMb948YLBgwdz9+5dDh8+XOwmkGnr56woGZQrV46TJ0/StGlT9X2nTp2iVKlSinaSnJyskbX19PQ0agK///47bm5uvP/++2zdupV69eqlO9gWLVrQokUL9e2wXPQ0dHR0zNXzC5vCdrwvX+oxYYIztWol8vnnYTlqX1nYjjkvFIdjTlsk9vb2pkyZMkX+mP8tNz/nrN6zFSWDHj168OOPP3Ly5Eneeecdnj17xrVr15g4caKiAOzs7Lh69ar6dnh4OBUrVgTg0aNHBAcHM2DAAADq1q3LgQMH6N69u6LXFkXPggVWhIXps2HDC2QcgQApEucHRX9qFSpUYOHChVSrVo2UlBQqV66Mt7e3Rg0hKy4uLly8eJGoqCgiIyO5desWH3/8MfDmlCcsLIzIyEhSUlK4d+8elpaWOT8iUajdvGnI2rUWdOsWi4uLzCkQ/5tJLEVi7VK8aqmdnR3u7u452omtrS1du3Zl8uTJAPTs2ZNLly7x9OlT3N3dcXd3Z+LEiRgZGVG+fHlat26do/2Iwk2lgqlTbbCyUjFhgswpKO5UKhXbtm3jp59+YvTo0VIk1rJMk4GPjw9Dhw4FYMGCBZm+wKhRoxTtyNXVNdOMnpoQRPH2xx8mHDtmwvTpUdjbp+g6HKFDaXsSy3LT+SPTZJD2m//uu+/mSzCi+EpOhpkzrSlXLpmePaVhTXH23//+lxEjRvDFF1/g4+MjrXXzSabJwM3NDXhzqubs7EzdunUxNzfPt8BE8bJtmzm3bhmxevULjI11HY3QhbRFYi8vL43Ri0L73lpA1tPTY926dfkRiyimoqP18PKyol69BFq3jtd1OEIH/l0klkSQ/xSNJurevTsbN27kn3/+IT4+noSEBPWXELm1fLklz58b8MMPL6WNZTGTOpNYehLrnqLRRKtXrwbgjz/+SLctICAgbyMSxUpoqD4rV1rg7h4ny1MXM1IkLlgUJQNfX19txyGKKR8fSxIT9Rg79uXbHyyKjNQi8ZdffilF4gJCUTJIu66QEHnln38M2LTJgi5dYvngg9e6Dkfkg8TERLy9vdm5c6fMJC5gFE86EyKveXtboa+PNK0pJu7evcvQoUNxcnIiMDBQagMFjKz8InTi1i1Ddu0yo3fvGEqWlAlmRVnaInGnTp2kSFxAyZmB0In5860wN1fh6Rmt61CEFkmRuPBQnAxy2/ZSiFRXrhiyb58Zo0a9kmUnirATJ04wfPhwmUlcSORL20sh0lq0yApr6xT695ezgqIoMTGR2bNnM3ToUObNm8f06dMlERQC+dL2UohUV64Ysn+/GaNHv8TGRqXrcEQeCw4OxtPTE0dHRw4ePFgsOq8VFYrODHLb9lKIVAsXvjkr6NdPFqMrSlKXm27bti2dOnViw4YNkggKmXxpeykEvDkrOHBAzgqKGikSFw350vZSCJCzgqIotUjcunVrKRIXcoqSQYUKFVi0aBFHjx4lNDSUypUr069fP5ydnbUdnygirl9/c1YwatQrOSsoAlJnEu/YsQNvb29ZZbQIUJQM/vzzTz777DONbmSxsbGcOXNGCshCEV9fSywsUujbV0YQFXZpi8SBgYFSGygiFBWQly1blu6+lJQUFi9enOcBiaLn3j0Dfv3VjJ49Y7Gzk7OCwip1JrEUiYumLM8MvL29iY5+80lu+vTpGttCQ0N5//33tReZKDKWLrXEyAgGDJCzgsIqbZF4x44dVKlSRdchiTyWZTJo2rQpoaGhXLt2jfr166vv19PTw8LCgjp16mg9QFG4hYTos3OnOd98E4uzs8w2LoykSFw8ZJkMatWqBcCrV6/4/PPP8yUgUbSsXGmJSgWDB8tZQWGTlJSEl5cXO3fulJ7ExYCiAnLHjh21HYcogsLD9dmyxZyvv46jTBnpV1CYBAcHM3ToUBwcHGQmcTEhS1gLrVm3zoL4eH2GDJGzgsIibZG4Y8eOUiQuRmQJa6EVsbF6rFtnQatWcVSokKzrcIQCERERjB8/nuDgYJlJXAzJmYHQCn9/cyIj9aVWUEj897//pWXLlrzzzjv89ttvkgiKIUVnBgsWLMjwflNTU5ydnWnSpInMRhZqSUmwcqUF9eolULdukq7DEVmQmcQilaIzA3Nzc65cuYKdnR3vvvsuJiYmXL58GXNzc+7fv8/o0aO5du2atmMVhcRvv5kREmIoZwUF3N27d2nXrh3Xrl0jMDBQEkExp+jMICQkhHHjxmlMNDl//jxHjhxhzJgxHD58GH9/f2bOnKm1QEXhoFLBsmWWVKqURIsWCboOR2Qgdbnpn376idGjR9OrVy/09PR0HZbQMUVnBg8fPqRs2bIa91WtWpULFy4A0LBhQx4+fJj30YlC59gxE65dM2LQoGj0pSJV4ERERDBgwAD8/PzYuXMnvXv3lkQgAIXJoEKFCmzfvp3k5DejQlJSUtizZw8lSpQAID4+HgMDA+1FKQqNlSstcHZ+Tbt2cboORfzLiRMncHNzo2TJklIkFukoukw0cOBA5s2bx7fffoujoyMRERHo6ekxZswYAC5evEjt2rW1Gqgo+G7cMOTIEVPGj3+JiYmuoxGppEgslFCUDJydnfHy8uLOnTs8f/4cCwsLKleujMn//8W7urri6uqqzThFIbBqlSVmZin06CHNawqK1OWmHRwcZLlpkaVsXdUtUaIEFStWpFSpUrx69YqwsDBtxSUKmWfP9Pn5ZzM6d46TZaoLgLQ9iTt27MjGjRslEYgsKTozOHfuHKtWrSIyMjLdtoCAAEU7OnHiBFu2bEFfXx8PDw+aNWumsX379u388ccf6OvrM2zYMLmeWcisW2dBcjL07y/DSXUtMjKScePGcffuXVluWiimKBn4+fnh6upKq1atMDc3z/ZO4uLi2LRpE7NmzUJfX5+xY8dSp04drK2tATh8+DDBwcEsXrwYIyMjkpJkolJhEhurx6ZNFnz+eTzvvy8L0unSyZMnGTZsGK1bt2bJkiWy3LRQTFEyiI+Px8PDI8e/WBcvXqRq1arY29sDUK1aNS5fvkyjRo0A2Lt3L2PHjsXY2BhA/a8oHHbsMCMyUp8BA6RWoCtJSUlMmTKFDRs24OXlle7MW4i3UZQM2rVrx6FDh2jTpk2OdhIWFoaTk5P6toODAxEREQAkJycTGRnJ4cOH+euvvyhTpgyDBg3CyspK4zWCgoIICgoCYM6cObm6/mloaFisrp9q83hTUmD9eiNq106hdWtrCsqQ9eL0M759+za9e/fGycmJs2fPFqulYYrTzzmVto5ZUTI4efIkjx49Yt++fdja2mpsmz179lufn5ycrDGxRU9PD/3/n5H06tUrYmJiqFatGl27dmX9+vX8/PPP9OrVS+M1WrRoQYsWLdS3c1O8dnR0LFbFb20e7++/m3DrlgO+vpGEhxecuQXF4WesUqkICAhg1qxZjBo1ijFjxhAeHl7kjzut4vBz/rfcHHOpUqUy3aYoGbRq1SpHO05lZ2fH1atX1bfDw8OpWLEiAFZWVpiamvLxxx8DULduXf7zn//kan8i/6xZY8E777zmyy8LTiIoDlKLxMHBweoiscwkFrmhKBnkdg6Bi4sLW7duJSoqCpVKxa1btxgwYMCbAAwNqVixIn///Tc1atTg3LlzlC9fPlf7E/njxg1Djh41ZcKEl0iZJ/+k7UksRWKRVzJNBtu2baNLly4AbN68OdMX6N69+1t3YmtrS9euXZk8eTIAPXv25NKlSzx9+hR3d3f69++Pr68vfn5+lC9fns6dO2f3OIQO+PlZYGqawjffSOE4P6T2JN6xY4cUiUWeyzQZpK5DBPDy5ctc7yirWcolSpSQFU8LmfBwfXbtMqdjx1js7WWSmbal9iS2t7fn4MGDGgMyhMgLmSaDtJ/4v/vuu3wJRhQemzebk5CgR79+clagTalF4h9//JFRo0bRp08fqQ0Ircg0GZw/f17RC9SqVSvPghGFQ1ISbNxowWefxVOpkvQ31pbIyEjGjx/PnTt32Llzp8wkFlqVaTLw8/N765P19PQkGRRD+/aZ8vSpAfPmpV+eROSNtDOJFy9eLEVioXWZJoOlS5fmZxyiEFmzxpL330+maVPpZJbXpEgsdCXTZJCQoOwP3UQWri9WLlww4vx5Y2bOjJJOZnlMisRClzJNBj179lT0AkpXLRVFg5+fBVZWKXTqFKvrUIoMlUrF9u3b1UViaUUpdCHTZODr65ufcYhC4Nkzff7zHzN6947B0lKGk+aFtEViWW5a6FKmyUBOUcW/bdpkwevX0KePDCfNC1IkFgVJpslg2rRpTJs2DYCJEydm+gJKFqoThV9CAmzaZE7z5gmUKyc9C3IjtUi8fft2vLy8aN68ua5DEiLzZPDVV1+p/5/bhepE4fef/5gRFmZAv34ynDQ37t27h6enJ/b29gQGBsoZuCgwMk0GderUUf/f0tKSatWqyWlsMaVSwdq1FlSsmMSnn8pw0pxIWyQeOXKkzCQWBY6iVUt/+eUXFi9eTPny5XFxccHFxYUPPvhA27GJAuL8eSMuXjTmp58iC0zzmsIkbZF4+/btVK1aVdchCZGOomQwa9YsEhISuHXrFteuXWPTpk2EhoZSuXJlhg0bpu0YhY6tXWuBtXUKHTpIz4LsOnnyJMOHD+fzzz9n0aJFmJmZ6TokITKkKBnAm8llJUuWJCwsjGfPnhEaGsrjx4+1GZsoAJ4+1ee338zo0ycGCwsZTqpUUlIS3t7ebN++nfnz50uRWBR4ipLB6tWruXLlCvCmmX3dunXp27cvlpaWWg1O6F7qcNLevWU4qVJpi8Qyk1gUFooWFHj69CmJiYmUL1+eqlWr8tFHH0kiKAYSEt4sVd2ihQwnVSJ1uWl3d3fat2/Pxo0bJRGIQkPRmcGUKVNISkrixo0bXLp0ib1796Kvr4+LiwudOnXSdoxCR1KHk/btK8NJ30ZmEovCTvFSY0ZGRrz33nu8//77lC9fnujoaA4dOqTN2IQOyXBS5U6ePImbmxvOzs7s3btXEoEolBSdGaxZs4Zr167x7NkzKlasyMcff8zw4cNleGkRJsNJ3y5tkViWmxaFnaJkkJKSQpcuXahevboMjSsmZDhp1u7du8fQoUOxs7OTIrEoEhRdJhowYAD16tWTRFBMpA4n7dw5VoaT/kvaIvHXX38tRWJRZCieZyCKj82bZThpRiIjI5kwYQK3b9+WmcSiyJFeVUJD6uqkMpxU07+LxJIIRFGTozODxMREAIyNjfM0GKF7v/6aOpw0QtehFAhSJBbFhaIzg0WLFnHr1i0Arl69Sv/+/enTpw+nT5/WanAif6UOJ61UKYlPP03UdTg6d+/ePTw8PLh69SoHDx6URCCKNEXJ4Ny5c5QtWxaAjRs30r17dyZMmIC/v79WgxP56+xZIy5dMqZv35hiPZw0dblpKRKL4kTRZSJra2tCQkIIDw8nNjYWNzc3EhMTCQ0N1XZ8Ih+tXWuJjU0K7dsX3+GkUiQWxZWiMwN3d3emTJnCggUL6NatGwC3bt2ST0tFyOPH+uzda0rXrrGYmxfP4aSnTp3Czc0NJycnfvvtN0kEolhRdGbQqlUrXFxc0NfXx9nZGQBHR0fGjh2r1eBE/tm40QKVCnr1Kn7DSVOLxAEBAdKTWBRbis4Mpk+fzjvvvKNOBAAWFhYEBARoLTCRf+Li3qxO2qpVPGXLFq/hpGmLxIGBgZIIRLGV5ZlBWFgYANeuXVP/P1VwcCGzOC8AACAASURBVDAXL17UXmQi3/zyizkREQb061d8zgqkJ7EQmrJMBnPnzuXhw4cADBkyRGObkZERX3/9tfYiE/lCpYI1ayz46KMkGjQoHsNJpSexEOllmQxmz55NcnIyvXr1YsOGDer79fT0MDEx0XpwQvuOHTPm5k0jFiyIKBbDSVN7Erdq1Up6EguRRpbJwNDQEENDQ3x9fTE1Nc2vmEQ+8vOzxNHxNW3bFu3hpFIkFiJrikYTmZqa4u/vz4MHD0hI0Gx0MnXqVK0EJrQvONiAoCBTRo58RVHO9WmXmw4MDJQh0UJkQFEyWLhwIVFRUTRq1Ahzc/Mc7ejEiRNs2bIFfX19PDw8Mpzav3z5cq5du4aPj0+O9iGyZ+1aC4yMVPTsWTQLx2mLxCNGjKBv375SJBYiE4qSwe3bt/Hx8cHW1jZHO4mLi2PTpk3MmjULfX19xo4dS506dbC2tlY/5sqVK0RGSq/d/BIZqUdAgDlt28bh7Jyi63DyXEREBIMHD+bWrVtSJBZCAUXzDD788MNcvVFfvHiRqlWrYm9vj62tLdWqVePy5cvq7YmJiQQEBNC5c+cc70Nkz9atFsTG6vPtt9G6DiXPnTp1inr16uHo6CjLTQuhkKIzg4oVK+Lt7U2jRo2ws7PT2NaqVau3Pj8sLEzjOq2DgwMREf9bInnnzp24ublhaWmZ6WsEBQURFBQEwJw5c3B0dFQSeoYMDQ1z9fzC5t/Hm5QE69cb4eqagqtrzs72CqKkpCRmzpzJhg0bWL16NW5ubroOKV8Vt99rkGPO09dV8qCrV6/i6OjIzZs3021TkgySk5M1rtXq6emhr//mpOThw4c8ePCAbt26ZbnwXYsWLWjRooX69r8nwWWHo6Njrp5f2Pz7eHfvNiMkxI5Zs14QFpaQxTMLj7RF4gMHDlC1atVi9TOG4vd7DXLM2VWqVKlMtylKBrkdMWRnZ8fVq1fVt8PDw6lYsSIAR44c4enTp4wdO5bk5GTCw8NZuHAhI0eOzNU+RcZUKli1yoIPPkimefPCnwhkJrEQeUNxp7NTp05x9uxZIiMjmTx5Mo8fP8bExAQHB4e3PtfFxYWtW7cSFRWFSqXi1q1bDBgwAICePXvSs2dPAEJDQ5k5c6YkAi06c8aYixeNmT07Ev1C3vQ0dSaxLDctRO4pejsICAjA39+fkiVLqgu/4eHhrFq1StFObG1t6dq1K5MnT2bKlCn07NmTS5cu8euvv+Y8cpEjK1daYGubQseOhXuSWdrlpqVILETuKTozOHz4MDNnzsTZ2Znt27cDb4rKqa0wlXB1dcXV1TXLxzg7O8scAy26e9eAgwdNGTYsGjOzwtmzICkpiQULFrBt2zbmz5+vUUcSQuScomSgn8H1hMjISIyMjPI8IKE9q1ZZYmwMffoUzklm9+/fx9PTU2YSC6EFii4TtWzZkrlz53Lu3DngzZLWy5cv55NPPtFqcCLvhIXps3OnOR06xOLkVLgmmaUWidu0aYOHh4f0JBZCCxSdGXz99deYmpqyefNmjI2NWb58OY0aNaJ9+/bajk/kkfXrLYiP12PAgMI1ySy1J/GtW7cICAjgww8/1HVIQhRJikcTffHFF3zxxRfajEVoSWwsrF9vjptbHBUqFJ5OZqdOnWLYsGG4ubmxcOFCWW5aCC1SlAzOnz+f4f2mpqY4OzsXuxmAhc3GjfpERBgweHDhqBWkXW563rx5tGzZUtchCVHkKUoGfn5+hIWFYW5ujrm5uXqdIisrKyIjI6levTrDhg3DyspKq8GK7EtOhkWLDKhZM5G6dQt+J7PUmcS2trYcPHhQo++2EEJ7FCWDBg0aYGxsrF5ILjExkY0bN1KuXDkaNmzIihUr2LRpE999951WgxXZ99tvZty7p4efX3SB7mSmUqnYsWMHM2fOZPjw4fTt2zfDUWxCCO1Q9NcWFBRE27Zt1beNjY3p1q0b27dvx8LCgl69emmsQioKBpUKfH0tqVJFhZtbvK7DyVRUVBTfffcdK1asYPv27fTv318SgRD5TNFfnK2tbbpF6h48eIBK9WbikqWlJdHRhWuUSnFw+LAJ168bMWbM6wK79MSpU6do2bIlDg4OMpNYCB1SdJmoffv2eHt707hxY0qVKkV4eDhHjhyhdevWANy4cYPSpUtrNVCRfb6+lpQqlUyXLilERek6Gk0yk1iIgkVRMmjSpAmlSpXiyJEjXL58GQsLCwYMGEDDhg2BN8tIeHp6ajVQkT2nTxtz+rQJM2ZEYWRUsIZkps4kliKxEAWH4nkGFSpUoEKFChluy2qNbKEbvr6W2Nu/plu3WKBgJAMpEgtRcClKBlFRUezZs4d//vmH5ORkjW257XUg8t7ly0b8/rspY8e+LDAL0kVFRTFhwgRu3LghM4mFKIAUfSxbsmQJ9+/fx8rKCkNDQ6pVq0ZYWBiVK1fWdnwiBxYvtsTaOoW+fQvGJLO//voLNzc3HBwc2LdvnyQCIQogRWcGt2/fZuXKlTx8+JDff/+d9u3bU7duXfz8/LQdn8ima9cM2b/fjJEjX2FtrduzgqSkJBYuXIi/v3+RLxK/fv2a+Pg3w3d11Wnt2bNnJCQU/u512SHHrEmlUmFgYICpqWm2X1dRMrC2tubVq1eUKVOGu3fvAm+GmwYHB2d7h0K7liyxwtIyhX79dDvUN7VIbGNjU+SLxK9fvyYuLg4LCwudttw0NDTEwMBAZ/vXBTnm9OLj40lKSsp2iwHFS1ifOnUKCwsLnJycmDRpElOmTJHLRAXM7duG/PabKb17x2Bnp5uzgtQicZs2bWjXrh2bNm0q0okA3vzx6ToRCJHKxMSExMTsLz2j6Mwg7ezjUaNGcfToUV6/fk2TJk2yvUOhPUuWWGJmpmLgQN3UCopzkVgSgSgocvq7qHhoaSpjY+Mife23sLpzx5Ddu80YODAGe/v8b17z119/MWzYMFq2bMm+ffuK1XLTkghEQZOT38lsJwNRMHl7W2FqqmLw4PytFRSnIrEQRZnM+CkCrl0z5NdfzejXLwYHh/w7K7h//z4eHh5cunSJgwcPSiIooOrXr0/9+vXVo51SjRgxghkzZugoqjf++ecfSpcuTUxM3l3arF+/PocOHcpw2+zZs6latSqTJ09W9Fpv+x6VLl2aGzdu5CjOgibTZLBu3Tr18KU///wz3wIS2eftbYWVVQoDB+bPWUHansRt27Zl48aNRb5IXNi9ePGC5cuX6zoMnbpy5QqrV69m//79TJw4UdfhFDiZJoOjR48S9f+rmy1btizfAhLZc+mSEQcOmDFgQHS+jCBKXW56+fLlBAQE8O2338qSEoVA3759WbZsGU+ePMn1a6Wk5H9NKi88ffoUJycnypUrh4WFha7DKXAy/Stu2bIlI0eOVC9A5+npmeGX0K35862wtU2hf3/tjyA6ffo0bm5u2Nvby0ziQqZOnTq0atWKn376KdPH/P3333h4eFC5cmUaN27Mxo0b1dtGjBjB+PHjad++PY0aNQLeXCLZtGkTjRo1okqVKqxbt46jR4/yySef8OGHH+Lt7a1+flBQEG5ublSoUIGmTZty5swZRXGfPn0ad3d3KlasSL169Xj48GG6x+zZs4fGjRtTsWJFpkyZkuHrBAQE0KtXLx49ekTp0qUJCAhQtH94UxcbM2YMFStWpEmTJhw5ciTDx/378tSMGTMYMWKE+nZgYCBNmzalatWqDBo0SP1hu6DItIDcrVs3PvnkE168eMHcuXPp27dvfsYlFDh1ypjDh02ZOPGlVmcbpy0SS0/it/vhB2uuXcvehJ/s+vDDJGbMeJmt50yaNAlXV1fOnj1LnTp1NLY9e/aMLl268MMPP+Du7s7ly5fp378/pUqVUteC9u3bx6pVq6hYsaL6eYcPH2bv3r0cPHiQ8ePHU79+fXbv3s3Vq1fp0aMHHTp04L333iM8PJw5c+ZQpUoVFi9ezKRJkwgMDMwy3rt379K1a1dmzZrFV199xf379zE3N9d4zN9//82YMWNYsWIF9evXZ9myZTx69Cjda3Xu3Bl7e3smT57MX3/9BUBycjLvvfdeuseam5tz+/Zt9e1du3Yxe/Zspk2bxpYtWxg0aBAnT57Ezs7uLd/x/7ly5QpDhw7Fz8+P6tWrM3LkSObMmcPs2bMVv4a2ZXl+X65cOWrVqsXgwYOpVatWhl9CN1QqmDXLmnfeeU2/fto7K7h//z5ff/21ukgsiaDwKlmyJJ6enkydOlXdmCrVrl27qFWrFt26dcPS0pKGDRvyzTffsGvXLvVj6tevT8OGDXF0dFTf169fP2xtbencuTMGBgZ069YNZ2dnmjZtSokSJdRvqp07d+bDDz8kODgYa2trbt269dZ4N2zYwJdffkmXLl2wtLSkWrVqGvsG2Lp1Kx4eHjRv3hxLS0vGjh2LtbW1ou+HoaEhISEh6b7SJgKARo0a0bZtWywtLRk4cCC2trbqhKLU5s2b6dq1K40bN8bGxoaBAwdmWuTWFUVDS11dXXn48CHHjx8nMjISR0dHmjZtipOTk7bjE5nYv9+U8+eN8fKK1MrKpCqVip07dzJz5kyGDRsmy01nQ3Y/seenAQMGsG3bNnbs2KFx/z///MP777+vcV+ZMmU4d+6cxu1/S/vmbGZmpvGeYGFhoR7BNHfuXH7++WdcXFywtLQkKSnprbHeu3ePTz75JMvHPHr0SOMxenp6ipOBUu+++67GbUdHRyIjI7P1GiEhIRw+fJjVq1er7ytof0+KksHp06dZsmQJderUwdnZmcePHzNu3DgmTJggS1LoQHIyzJ5tTcWKSXTsGJvnrx8VFcXEiRPVM4mlFWXRYWJiwtSpU5kwYQL16tVT3//OO++ku46fen09VU7fvO7evcuKFSu4cOGC+lO1kmv2Tk5OPHjwIMvH2Nra8vjxY/XtuLg4nj9/rigupZeJIiIi1P9PSkri/v37GSZGCwsLYmP/9/f48uX/PhQ4OTkxcuRIxowZoyg2XVD0092xYwfDhw9nxIgRdOvWjREjRjBkyBCNApPIP/7+5gQHG/L99y8xzONpg6nLTdvb20tP4iLKzc2NqlWralym8PDw4OTJk2zbto2YmBj++usv/P396dmzZ673l5ycTHJyMg8ePCAsLIylS5cqel7nzp3ZuXMn+/fvJzY2lvPnzxMaGqrxmM8//5wdO3bw119/ERUVxfTp0xXHpfQy0b59+zh27BgvX75k7ty52NjY0KBBg3Sv99FHH7F3715UKhUhISEcOHBAva1du3Zs3ryZM2fOEBcXx7Vr1zh69KjiWPODomTw7NkzPv74Y437qlevnmGhRmhXTIweCxZYUbduAi1b5t3SvUlJScybN49BgwYxa9Ysfvzxx2K1pERxM336dF6/fq2+XbZsWTZt2sTGjRupUaMGkyZNYu7cuekKzTlRuXJl+vbtS6dOnXB3d6d58+aKnle/fn28vb2ZO3cu1atXZ+LEibx+/ZrAwEA8PDwAaNOmDX379mXAgAE0adKEKlWqULJkSfVrDB48ONcfWr/88kt8fX2pVasW586dY8OGDRhm8ClszJgxPH78mPr16zN+/HiaNWum3takSRNGjRrF8OHDqVatGiNHjixwl4n0VP+uJGVgwoQJdOjQQeMX49y5c2zdulVj+Fh+SntqmF2Ojo6EhYXlYTT5Z+5cK5YsseLXX59Tu/bbr7vC24837XLTCxcuLBITyPLzZxwbG5tulIsuGBoaputEWNTJMWcss9/JrFoUK7rI0KVLFxYuXEjjxo0pWbIkT58+5ejRowwZMkTJ00Ue+ecfA1autOTrr2MVJ4KspBaJZ8yYIT2JhSjmFCWDGjVqMH36dIKCgrh8+bJ6vG6lSpW0HZ9I48cfrdHXVzFxYu5Hq0RFRfH9999z7dq1YrfctBAiPcXlx3LlytG/f39txiKycOqUMb/9ZsaYMS8pVSp3ywGcPn2aoUOHFsvlpoUQGcu3JaxPnDjBli1b0NfXx8PDQ6O4sm/fPg4dOkRiYiJVqlThu+++K3at7LLy+jVMnWpNqVLJDBqU8wlmSUlJLFq0iK1bt8py00IIDfmSDOLi4ti0aROzZs1CX1+fsWPHUqdOHfXkEFNTU+bPn4+enh6zZ8/mxIkTfPrpp/kRWqGwaZM5V64Ys2zZixxPMCtOPYmFENmXL9XCixcvUrVqVezt7bG1taVatWpcvnxZvb1Zs2bqJs9ly5YlOlq3zdwLktBQfebOtaZx4wTc3ePf/oR/UalUbN68Wb3cdHHoSSyEyD7FZwaxsbE8ffo0XYMMJYXHsLAwjWnqDg4OGrP6UiUkJHDhwoUM1xoPCgoiKCgIgDlz5qRboyQ7DA0Nc/X8/DRmjAHx8XosX66Hk1P2Yo6MjMTT05OrV69y8ODBdHNFirL8/Bk/e/Ysw3HnulBQ4shPcszpmZiYZPv3X9F3MSgoiPXr15OSkqJRbNTT02PNmjVvfX5ycrJGT049Pb10QxhTUlLw9fXl888/z/CTa4sWLTSucedmDHlhmWdw/Lgx/v6OjBjxCnv7V2Qn5NQicYsWLThx4gQxMTGF4pjzSn7+jBMSEgpEjUvG3BcPSo45ISEhw9//rOYZKLpMFBAQQM+ePdmyZQt+fn7qLyWJAMDOzo4XL16ob4eHh2tkLZVKxYoVKyhTpgytWrVS9JpFXUICfP+9De+9l4yn5yvFz0tOTmb+/PkMHDiQH3/8kVmzZsloIQFAcHAw5cqV02jjOGLECEqXLq3+atKkieLXy6q9pK79u51m27Zt1VcWtMnb25tvv/020+25/Z7Vr1//rUt/55SiMwN9fX0+/fRTjU/32eHi4sLWrVuJiopCpVJx69YtBgwYoN6+Zs0a9TK44o1Fi6y4e9eIzZvDUfpe/uDBAzw9PbG2tpYisUhn1qxZODg4pLt/1KhRjB49WgcR5Z89e/boOoQCT1Ey+Oabb9i5cyddu3bN0fU5W1tbunbtqm5C3bNnTy5dusTTp0+pVKkSQUFBODs7c/LkSeDNAlWNGzfO9n6KisuXjVi61JKOHWNp2vTt6w+lnUk8bNgw+vXrJzOJhYZTp07x6NGjAv93lZKSIr+7OqLou75hwwb2799Pjx496N+/v8aXUq6urvj4+ODj40O9evWoV68e7u7uVKlShYCAAPU2Hx+fAv8Lq02JiTBypC2OjilMm/b2tnhRUVEMGTKEZcuWSU9ikSGVSsWMGTOYPHlyjs/uIev2kiqVisWLF1OnTh1q1KjBvHnz1A104uLiGD16NB999BENGjRg/vz5VKtWTf3c0qVL4+fnh4uLCwsXLgSybhG5detWGjVqxEcffcS4ceNISHj7B6a0l2dGjBjBpEmTGDp0KBUqVKBVq1YEBwerH3v27Fm++OILKleuTLdu3XK0Dtrs2bOpWrUq9evXT9c7ItW5c+fULT0bNGigscppZGQko0aNombNmlSqVAk/P790z/fx8aFu3bo8e/Ys2/FlRNG7xujRo5k8eTJTpkxh1KhRGl8ib/n4WHH9uhFz5kRia5v1nILUnsR2dnbSk1hkateuXTg4OGQ6d2fBggVUrFiR9u3bc/Xq1Qwfc/HiRcaMGcP06dO5cOECVlZWGqsWr127lt27d7Njxw727NnDnj17+M9//gO86QV89+5dAgMD2bFjB4cPH073+n/88QeHDx+mT58+6haRM2fO5NSpUyQmJjJnzhzgTZLw8vJixYoVHDlyhMuXL2f4Rvk2u3fvpmPHjpw9exYbGxu8vLyANyPDunfvzsCBAzl79izlypVj/Pjx6ufVrl1bo8aS+pW2Jvrnn3/i4ODA6dOnmTRpEmPGjOHOnTvpYggNDWXs2LH8/fffDB48mNGjR5OS8mZ1gf79+/Pq1Sv27t3LqVOn0q0eGxQUxIoVK9i0aRMlSpTI9vFnRNE1n9Q3maSkJCIjI7G3ty8QoyeKmitXDFmy5M1CdG5umX/akZ7EBV/apjDaEhIS8tbHxMXF4eXlxYYNGzLcPnv2bLy8vAgPD8fLy4s+ffpw/PhxjI2NNR7n7++vbi8JMHbsWNatW6fevnHjRiZNmqTultahQwcOHTpEmzZt2LFjB/7+/urvydChQxk3bpzG6/fs2VNdz5g3b566RSTAwIEDGTJkCLNnz2bjxo0MGTKE6tWrA9C3b182btzId99999bvRVpNmzZVF8s7d+6Mr68vADt37qRx48a0bdsWgCFDhtCgQQOSkpIwMjLS6PyWmQ8++EBdE3V3d2fjxo388ccfVKhQQeNxrVu3Jjk5mdu3b2NmZkZkZCShoaGEhYVx8eJFLly4gKWlJQD29vbq5925cwcfHx9WrlxJlSpVsnXcWVGUDGJjY1mxYgWnT59GpVJhYGBAs2bN6NWrF0ZG2m38XVzExekxZIgdjo4pTJ+e+eWh+/fvM3ToUCkSF3BK3qjzw6pVq2jSpEmmHQlTR5qVKFGCH3/8kcqVK3P79m0++ugjjceFhITQqFEj9e1/t5d89OgRffr00XhOo0aNCA8PJy4ujvLly6vvt7W1TRdH2s5hWbWIfPToET/88AM//PCDeltG3creJu3fjbW1tbpD2aNHj9i/f3+6ZB4aGqo4wf+7TaaTk1OGbTI3bNiAr68v1atXVx9/UlIS9+7do0yZMupE8G++vr64uLjk+eV0Rclg7dq1JCQksGDBApycnAgNDWXTpk1s3bqVXr165WlAxdW0adbcvWuIv3849vbpLw9JkVjkxC+//MKTJ0/Ul2zi4uLQ19fnyZMnLF++XOOxKSkppKSkZLgO/tvaSzo7O+Pl5aWRMODNeHd9fX0eP36s/nT7zz//pHv9tL/LWbWIdHJyYvDgweqRh3k9z8DZ2ZkOHTqwePHiDLfXrl2bp0+fprs/dTVnIN2E2tu3b/PZZ59p3BcXF8cPP/zAoUOHqFSpEiEhIerLXU5OTjx9+pTExMR0Z2gA33//PV5eXvj4+DB06NAcHWdGFL2bXLx4kcGDB1OqVCmMjIwoXbo0AwcO5NSpU3kWSHF24IApmzdbMHhwNJ9+mphue1RUFJ6enixbtoxt27ZJkVgoduTIEW7evMn169e5fv067dq1o3fv3upEsGvXLsLDwwkLC2PcuHFUr16dcuXKpXsdNze3LNtLtmvXDi8vL+7du0dsbCxHjx7l9u3bmJiY4OrqyqxZs3j+/Dk3b95k1apVWcacVYtIDw8Pli1bxtWrV4mLi+PMmTOKLt0o1aZNGw4cOEBQUBBxcXEEBwdrFHbPnTuXYavMtJdxzpw5w549e4iOjsbPz4+QkBBat26tsZ/Xr1+TkpJCcHAwUVFR6sI5vEk4zs7OTJ48mfDwcJ49e6bRn9rZ2Zl169axZMmSPB0yq+gdJaM3Hj09PRIT079xiex58kSfMWNs+PjjRMaOTT+5LLVIbGNjw759+9KdvguRGwcOHKBBgwZ89tlnxMfHs3r16gxHHH311VdZtpdMbefo4eFB7dq1WblypfoMY968eejp6dGwYUN1H/WsOsNl1SKyS5cutGvXjl69euHi4sKMGTMwNTXNs+9HhQoVWLRoET/++CPVqlWjT58+2X6fc3V1Zd++fbi4uLB9+3Y2bdqEjY2NxmMsLS2ZNGkSo0ePpmnTptStW1e9zcjIiI0bN/LkyRMaNWpE69atefDggcbzq1evjre3N6NGjeL06dM5P+A0FLW9XLVqFZGRkQwcOBAbGxuioqJYvXo1JiYmeXqakh1Foe1lYiJ06ODI9euG7N//nAoV/teTNjk5mYULF7J169ZcF4kLyvHmJ2l7WXCtWbOGAwcOsHPnzly/VmE55ryk07aXPXr0YOnSpQwYMABTU1Pi4+OpUaMGgwYNUvJ0kYkZM6w5d86YFSteaCSC1JnEVlZWHDhwIM+GjgmhCwcOHKB8+fKUKVOGCxcusGzZMvUEVFFwKEoGZmZmjBkzhqioKJ4/f469vb3GNTKRfbt2mbFunSUDB0bTps2blWBVKhW7du1i+vTpUiQWRcbjx4+ZNGkSkZGRvPvuuwwbNgwPDw9dhyX+JdPLRJGRkeohYFnN8DMxMdFOZG9RmC8TXb1qiLu7IzVrJrFtWziGhm+KxBMnTuT69ev4+vrmaW1A18erC3KZqHiQY85Ynl4mmjp1qnp4Vc+ePTN9gYCAgCyDEpqePtWnVy8HbG1VLFsWgaHh/5abbt68ufQkFkLoRKbJYNq0aer/p87OE7kTE6NHr172vHypxy+/hGFvn8j8+QvZsmUL8+bNw83NTdchCiGKqUwvSNvZ2an//+eff+Lk5KTxZWZmxtmzZ/MlyKLg9WsYMsSOa9eMWL48AkvLu3h4eHDhwgUOHjwoiUAIoVOKqpMZrbqXmJjIli1b8jygokiletOo5tAhU2bMiCQiYgtfffUV7u7ubN68WUYLCSF0LsvRRFOmTFFPrfb09NTYFhUVpV4sSmROpYKZM63ZvNmCb799xNmzQ7l69Sr+/v4ay/gKIYQuZZkM+vTpQ0REBPPmzaNv374a2ywtLdOtwifSW7TIkpUrLfnii0AOHOhPs2bN2L9/vxSJRb76559/mDdvHn/++SevXr3C0dGRmTNn8vnnn2f6nBMnTjBgwACuXLmilZi0/fpKdOjQgS+//DLdInvFUZbJ4IMPPgDgu+++o1q1ahkumiQyt3SpJV5e5nz44UTOnPGTIrHQiTt37tC+fXu++eYbAgMDsbGx4fr16yhYfEAUI4omna1Zs4Y6depIMlBIpYJ586xYsuQ5dnZdcXQ0Y/Pmg1IbEDoxZswYvv76a40eArVq1dJhRNohLTNzR9F3rmPHjuzevZv4+Hhtx1PopaTAlClWLFmyGxOTenh6fs6WLVIkFroRHBzM2bNnGT58eIbbX716xbhx46hVqxbVq1dn2LBh6dbe//XXX6lbty7VqlVj2rRpvH79mt27d2ssy7x4Y9qIZQAAGblJREFU8WKNTmo//fSTuufAnTt36NChA5UrV6ZNmzbcvHnzra+vlIeHB3PmzKFFixZ06tTprfs7fvw4LVq0oHz58gwaNEgW20xDUTLYs2cP+/bto3fv3vTr1y9HPZCLg/h4GDxYj3XrBmJrO4tff93KoEED5dOK0JkbN25QqlSpDBvKAIwaNYpnz56xb98+Dh06REREhMYZRExMDIcPH+bgwYNs27aNPXv2EBAQQJMmTQgODlb3NDh27BgRERHqlQFOnTqFq6srcXFxdOnShZYtW3Lu3DlatWrF4MGD1e0dM3t9gHv37mXYYrJZs2Yax7Bnzx58fX1ZsWJFlvt78uQJvXv3ZuDAgVy8eJHGjRvn6fLXhZ2iy0SjR4/WdhyFXliYPp06XefmzT7UrNmC7dv3Ym4uReLiqlQ+tL18rKCbWkJCQqaXd8PCwti3bx/nz59Xn7lOnTpV/SYObzpvzZgxA2tra+zt7enRowdBQUF069aNjz/+mBMnTuDm5kZISAitWrXi+PHj6k/jDRs2JDAwEAcHBwYOHAjA4MGD8fb25uHDh299/ffff19Rx7hWrVqp2z/u2bMn0/3t3buXevXq0bFjRwC6d+/O+vXr3/r6xYX0QM4DV69Chw6+vHy5hu++82bSpKa6DknomJI36vxQunRpHj16RHx8fLp1///55x/Mzc01LmGWKVMGlUql/sRva2ur0d7S0dFRfRnJ1dWVkydPYmVlRaNGjWjcuDGHDx+mZMmS1KxZEzMzM0JCQrhy5Uq6lpHPnj176+srlbbNZFb7e/TokXpQTKrMzpiKI+mBnEvLlj3jp5+GYGhowaZNQTRrJqu5ioKjZs2a2NnZsX79+nRLzr/zzjvExsYSGhqq7gn86NEjDA0Neeedd3j06BExMTHqZvDw5np8ar9eV1dXxowZg6mpKa6urjRo0ICZM2dStmxZXF1dgTctHBs0aMCuXbvSxXbixIksX//evXsZ9vmtXLkyhw8fVt/+d8vMzPaX2vUtlUqlyrAFZ3Gl6GJ22h7ImzdvZv78+YSFhbF161Ztx1dgxcTo0a7dfmbNcuO99zw4eXKDJAJR4BgZGTFz5kzmz5/P+vXriYqK4tWrVxw/fpz79+/j6urKhAkTePbsGc+ePWPGjBl06dJFfWkpOTmZWbNm8erVK/773/8SEBCg7j9cq1Ytnj9/zpEjR/j0009xdHTEzs6OX3/9VV1cbt68OTdu3CAgIIDY2FhCQkLYvXu3Or6sXj/1MtG/v9Imgn/Lan+tWrXi999/5+DBg7x69YpFixYVu9V8syI9kHPg8OF4atYcxZkz3nTvvpujR78hTQdAIQqUr776Cj8/P3bv3k2tWrWoXbs2P/74IyqVCh8fH8zNzWnevDlffPEF5cqV01ik0sbGBgcHB+rWrcuYMWOYMmWKuum9gYEBjRo1wtbWVt3WsXHjxkRHR1O1alUA7O3tWbduHevWraN69ep06NCBFy9eKHr9nMhqfzVq1GDGjBlMmjSJevXqkZiYSJ06dXK8r6JGUdvLgQMHMnfuXI3ra5GRkYwePRo/Pz+tBpgZXfQziInRY8SIK+zbNwBLy1asWPE9TZsqutKmU9LPQLukn4HuyDFnLCf9DBSdGdSuXZtVq1YRFRUFvFmXaM2aNdSoUUPJ0ws9lQp27TKiVq1lbNrXChX3uXBhaqFIBEIIoYT0QH6LCxeMmDDhBVeu9MHCwhx7VDwOCcEcmcovhCg6stUD+eXLl4SGhhaLHsh//23EggVW/P77TvT0RuLuPpwlS3rz2EgmkAkhih7F1zmePHnChQsXiI6OpkSJEtStW7dAXCfNSykpcOyYCatXW/DHHwkYGfXFweE8fn5bqVs373oSi6JFFnwTBU1OficVfcw9evQoo0aN4syZMzx+/JjffvuNIUOGcOfOnWzvsCB68UKPtWstcHV1ols3By5cOI2Nzcd06GDMX3/tlUQg3koSgigocvq7qOjMYPv27QwfPpwGDRqo79u3bx9+fn7Mnj07RzvWtbg4PY4cMWHXLjOCgkxJStLDxSWWzz+fxNmz65k/X5abFsqYmpoSExODhYUFenp6ug5HFHNZLUGSFUXJICYmJt3IoWbNmuHv75/tHepSVJQeBw+a8scfhgQGliA+Xh8np9f06RNDo0bXWbJkMLGxFgQGynLTQjkDAwPMzMyIjY0F0FlCMDExISEhQSf71hU5Zk2pK0TkZGUIRcmgRYsWHDlyRKMr0vnz56lZs2a2d6hLd+8aMnKkHaVLq+jSJZZWreL55JME9uzZxciR0/D09OTbb7+VVUZFthkYGGBhYaHTGGQ+SfGgrWNWlAyeP39OYGAgf/75J05OTkRHR3P9+nVcXFxYsGCB+nGjRo3K8wDzUo0aSezf/5ymTW0ID4/i5cuXjBjxPVeuXJGexEKIYk1RMkhdRzyt1OnmSp04cYItW7agr6+Ph4eHxprkDx8+xMfHh5j/a+/ug6Ks9gCOfxcQcBcSFlAzbpMkYoJiCowaEZaRNZOVTkCWJlNduXAxDb1E9zq+dO8oOokGhqAl6owmkWkZmphuJOUbV0Sx7MUX1CuyICvvLCvP/cPxGVZgWWVhRc7nv92zzzm/3y48Z/c85zmntpaAgABmzpzZJd/ObWxg5MgmFAo4evQocXFxhIaGij2JBUHo9czqDG6t/3236uvr2bx5M//5z3+wsbFh/vz5BAQEyEvXfvrpp0ybNg1/f38WL17MsWPHCAoK6lSb7TEYDCxZsoSMjAySkpJ47rnnuqQdQRCEnsSszkCSJHJzc8nLy6OyshIPDw+ee+45xo0bZ1YjJ06c4LHHHpNvVPPz8+PkyZM88cQT8o1st64/PPnkkxQWFnZJZ9DY2Eh4eDj9+vXju+/ERWJBEIRbzOoMtm/fjkajYfLkyXh4eFBWVsaWLVuora1l4sSJHR5fXl6Oh4eH/NjNzY3KykoAKioqcHd3l8vUajX//e9/W9Wxb98+9u3bB8CyZctMLrhkytGjR+/quJ7ubt+vnkzk3DuInC3DrIH5AwcOEB8fz7PPPsuoUaMICwsjPj6eXbt2mdWIwWAwmm6nUCjkawK3l9nY2LR5vWDixIksW7aMZcuWmdWmKe+//36n6+hJelu+IHLuLUTOlmNWZ1BbWyvvhHTLgAED5G/3HXF1dTVaw7zlr4G2ytzc3MyqVxAEQbAMszqDoUOHsnv3bqPndu/e3Wo/0fb4+/tz4sQJrl+/jk6n47fffmPkyJHAzTmzDg4OFBcX09zcTF5entnXIgRBEATLsF3UclujdgwZMoTMzEz27dvHiRMn2L59O6dPn+bdd9+VdzgyxdHREWdnZ9asWcOBAweYMWMGV69epaCgAB8fH7y9vcnIyGDnzp0EBATI+6d2JXM7svtFb8sXRM69hcjZMsza6QxAr9dTUFCAVqtFrVYzevTo+27VUkEQhN6qw85AkiQ+/PBD5syZI98XIAiCINxfOrxmoFAoqK6upqqqqjviEQRBEFrQ6/Wd2vPdXGYNE33++efk5+cTGBhI//79jaaC3st38N4LS2B0N1M55+TkkJubi16vZ9iwYcTExGBra2vFaC3DVM63pKWlcfr0aVJSUqwQoeV1lHNWVhYHDhzAxsaG2bNn4+PjY6VILcNUvkVFRWzcuJGGhgZ8fX2Jjo6+L/6X6+rqSE1Npbi4mHHjxrXaZtjS5zCzbjo7c+YM7u7unDt3jnPnzhmV3audwb20BEZ36ShnR0dHVqxYgUKhYOnSpfz00088+eSTVo66czrKGeDUqVPodDorRmlZHeW8f/9+zp49y+rVq+nTpw9NTU1WjrhzOso3PT2dhIQEPD09WbhwISdOnOhxKyq3xcbGhueff54xY8bw+++/tyq39DnMrM5g4cKFd92AtdwrS2B0J1M5A0bfph5++GFqamqsEqcldZSzXq9n27ZtREVFkZycbM1QLaajnL/99lvmz58vb3ByNxud3Es6yrfl2v0Gg8GsGY49gaOjIyNGjECj0bQq64pzmMnOYO/evRQVFaFUKgkNDWX48OF33VB3s8QSGD2NqZxbamxs5Pjx4yQmJnZneF2io5yzs7MJCwvDycnJGuF1CVM5GwwGdDod+/fv5/Dhw3h6ehIdHY2zs7O1wu20jj7juLg4Vq1ahb29PSEhIb1iqmlXnMPaHWD64osv2LlzJ4MHD8bV1ZXk5GSOHDnSqca6kyWWwOhpTOV8S3NzM6mpqUyaNKnVXeU9kamcS0pKuHDhQo8fCrudqZyrq6upra3Fz8+PVatW4e7uzvbt260VqkV09Hf9/fffExYWRlRUFIcPH+4Vm910xTms3aM1Gg3vvfceU6dO5bXXXmPOnDlkZ2d3qrHu1BuXwDCVM9ycJrx27Vo8PT3v2Ws9d8pUzhqNhtLSUubPn8/SpUupqKi4L4aKTOXs7OyMo6MjI0eORKFQEBgY2C0zUbqSqXwvXbrE2bNnmTRpEj4+PgQGBrJnzx5rhdptuuIc1m5nUFFRweDBg+XHPj4+XL58uVONdafeuASGqZwB1q9fj4uLCxEREVaM0rJM5TxjxgxWr17NihUrSExMxM3Njblz51o54s4zlbOdnR3e3t4UFhYCUFBQwKOPPmrNcDuto3zLy8vR6XQ0Nzdz7ty5+2pIsD1dcQ5rd2ppREQE77//Pi2Lk5KSWj03evToTgXQlTQaDV9++SUA06dPB6C0tJTJkydz9uxZ1qxZQ11dHU899RSRkZHWDNVi2st56NChLFy40GhoKCIiguDgYKvEaUmmPudbysrK+PDDD++bqaWmcr569SqpqanodDoeffRRoqOjcXR0tGa4nWYq36+//prdu3fTp08fOV8HBwdrhmsR9fX1/OMf/6ChoQG9Xs8DDzzA9OnTu+wc1m5nEBsb2/HBCgWpqamdCkAQBEGwPrPXJhIEQRDuXz1/Co0gCILQaaIzEARBEERnIAiCIIjOQBAEQUB0BoIgCAKiM+iVYmNjCQ8PJyIigpiYGLKysmhubrZ2WG26du0acXFxba6x1NW2bNnCzJkz+eyzz7q97a5y9uxZ5s6di8FguKvjFyxY0GXreGVlZbFly5ZWzzc2NhIfH9+jbnrtkSSh14mJiZGOHTsmGQwG6ffff5f+9re/SXv27LF2WJIkSdIff/wh/etf/7J2GNK5c+ekadOmSVeuXJHq6+utHY6k1+ul+Ph4qays7L5ss7S0VPr73/8u6fX6NssLCgqkxYsXd3kcvZn4ZdCL2draMmTIEJ5++mmKiopalXf3rwVJktDpdEZrrljLtWvXcHFxYeDAgffE3bs3btygpKTE6O7/O3Wnn6cl2jTXnj17eOaZZ4yWo76lubmZ0aNHU1lZyYULF7o8lt7KdtGiRYusHYTQvXJycnj88ccZNGgQAIWFhRgMBoKCgli0aBFXrlxh48aNHDp0iNDQUK5cuUJKSgqffvopubm51NfXM2zYMBQKBVlZWezdu5c///yTlStXkpubi5OTE4888ghwc7emDRs2kJGRwY4dO7h48SLDhw/H3t6e4uJiEhMTUSgULFmyBDc3N1atWkVdXR1ffPEFkiTh4eFBVFQUL774InZ2dmbV5+LiwtKlS9m5cydKpbLdJY0LCwtJTk5m06ZN5Ofn4+rqykMPPYRGoyE5OVmOw8PDQ87nlh07dpCSksLnn3/OqVOn8Pf3lzuNvLw8Vq5cydatW6muriYjI4OBAwcyaNAgJEniq6++4uOPP2bnzp3U1dXh6+uLQqFg0aJFlJeXs2PHDtLT0zl58iSjR4/m+vXrvPPOO/JnV1xcTGhoKN999x0rV65ky5YtlJSUtLk2TWxsLE1NTaSkpFBSUoJSqSQxMZGXXnoJAJ1OR1paGuvXrycnJ4fy8nJ8fX2pqKhos83Y2Fg5lzVr1nDy5EkOHjxIamoqhw8fxs/PT14uu6ioiOXLl7N582YuXbrErl270Ov1DBkypFWcmZmZTJ06Vd6LIDw8HJVKxfLly2lsbMTX15eysjIqKysZNmzYnfy5C2YSvwx6MYPBQHFxMfv37yc0NFR+Pj8/n9mzZzNnzhwaGxtZsmQJ3t7erFmzhnnz5qHRaNi7d6/8+uPHj6NWq0lLS2P69OmsXbtWXinzk08+4dq1ayxdupQVK1bIJ8dbGhoaqKqqIj09nbFjx5KQkICHhwdZWVmEh4e3irmj+urq6rhw4QLJycmEh4ezYcMGamtrW9Vz/vx5Vq5cydSpU1m3bh0RERGsXr2aCxcuEBoaahRHy/empQULFpCeno4kSezYsQOAP/74g3Xr1jFz5kzS09Oxt7dHq9XKx+zevZuDBw+ycOFC/v3vf5Ofn8/PP/8slx84cIDIyEhSUlKoqqpi165d9O/fn02bNgGQmpoqd9iZmZnMnTuX9evX88ILL7T7OR86dIjFixfzxhtvGD3f3NxMUlISSqWSVatWsXjxYs6cOcO2bdvabLMt+fn5hIaGkpaWhkqlYtu2bcDNhS6TkpJ46aWXWLduHcOHD+e3335rsw69Xo9Wq8XT09Po+cLCQj766COef/55ALy8vMQvgy4kOoNeKikpienTp5OZmcnbb7+Nn5+fXBYYGMjDDz9Mv379KCgowN7enldffRWVSsXgwYOZPHkyP/74o/z6QYMG8cILL9C3b1/Gjh3LsGHDOH78ONevX+fIkSPMmjULtVqNWq1mxowZHD58GL1eD9zskKZMmYKTk1OHwzHm1CdJEpGRkSiVSiZOnEhzczNXrlxpVde+ffsIDg4mKCgIR0dHgoKCCAwM5ODBg2a9fy+//DJOTk6UlJTg6urKpUuXgJsLqgUHB/P444/Tt29fIiIiUCqV8nG5ublMmzaNgQMHMmDAAJ566ikKCgrk8uDgYLy8vHB1dWX8+PHtnvxsbGxobm7m2rVr9O3b1+QexyEhIbi7uxttBQo3Lyb/73//IyoqCmdnZwYOHEhkZCR5eXlmvQcAo0aNYuTIkTg5OREaGkpJSQkABw8e5LHHHiMkJIS+ffsyceJE/vKXv7RZR01NDU5OTkbr8wOEhYXxwAMPyL80nJ2d74vd+e5VZm17Kdx/EhISGDNmTJtlLXeV0mq1PPjgg0bl/fv3N5rd0/L1AP369aOmpgatVouDgwOurq5Gr711bQBAqVQanSxNMac+lUolb/NoY2ODUqmksbGxzbp8fX1b5W3OrKXGxkaSk5MpKyvDy8uL6upqeXaOVqs16lgVCgUqlcqo3eXLlxvV1/L1LXNTqVRtxg4wYMAA3n33XTZv3kx2djZvvvmmUT0ttbeJUVlZGe7u7kbbYnp4eFBVVWX29QUXF5c249VqtfIw5C3tLS1tb2/f5j7Nt/9d6fX6Nq8pCJYhOgOhlZY7JqnVaq5evWpUXlZWZvSPevu3tcuXL+Pv749araaxsRGdTiefNLRaLba2tqjVarRabavdmW7/dtiSOfWZy9XVtVVebXV8bfnxxx+pqqrio48+QqFQkJ2dzalTp4CbJ8SKigr5tXq9Xu6o4ObJMzo6ut0T950YP348Y8eOJTc3l6SkJNavX9/m0s3tvadqtZqKigqamprkk6xWq0WtVnd61yyVSsXFixflx5Iktfv5KJVKDAYDDQ0NRr8Ob4+7oqJC3gdZsDwxTCSYNGbMGGpqasjOzqauro7z58/zzTffEBYWJr/ml19+IT8/n/r6enJyctBqtQQFBaFWq/H39ycjI4PKykoqKyvZvHkzEyZMwM6u7e8hKpVKnlF0eydzN/W1Z8KECeTl5XHs2DEaGho4duwYhYWFTJgwocNjDQYDNTU1VFVVUVJSwg8//CCXBQQEoNFoOH36NLW1tWzcuNFoNk5wcDBZWVmUlpbS0NBAUVGRPMRkioODA3369OH8+fNUVVVRWlrKqVOnMBgMDBo0iBs3btxR/gDe3t64ubmRmZlJdXU1V69eZdu2bfIueLe3eScCAwM5fvw4R44coa6uji+//NKoU2zJxsYGb29vfv31V5N1/vLLLyaHw4TOEb8MBJOUSiX//Oc/yczM5Ouvv8bV1ZUXX3yRJ554Qn6Nv78/hw4dIi0tjYceeogPPvhAHhqJi4sjMzOTefPmYWdnx9ixY3n99dfbbc/b25sRI0YQFxfH66+/TkBAgFH5ndbXHh8fH2JjY9m6dStlZWV4enqSkJBg1r7QISEhHD16lJiYGLy8vBg/fjxnzpwBYNy4cVy8eFHeXvPVV1/F2dlZ/sY+ZcoU6urqWLBgAU1NTXh7ezNr1qwO21QoFEyZMoWUlBT8/f2JjIxk3bp1aLVa+vfvz+zZs+94QxdbW1sSEhL47LPPiIuLQ6VSMWHCBHlToNvbnDdvntl1DxkyhKioKDZs2EBDQwOTJk3Cy8ur3RhDQkLQaDSMGjWqzfLq6mp+/fVXoqOj7yhHwXxiPwOhU7Kysrh48SLx8fHWDuWeVFNTw1tvvUVqamqrMfDe5MaNG8yaNYv33nuP4cOHtyo3GAx88MEHxMTEtJrGC7Bp0yacnZ155ZVXuiHa3kkMEwmCBV2+fJnCwkIaGhooLy9n7dq1+Pn59bqOQKfT8fPPP1NbW4tOp2PDhg04Ozu3O8xjZ2fH7Nmz5SnJLen1elxcXOR7I4SuIYaJBMGCJEli69atXL58GZVKxYgRI/jrX/9q7bC6nUKhICcnh08++QQHBweGDh1KYmIitra27R7j6enZ6l4DuDnbqOV+1kLXEMNEgiAIghgmEgRBEERnIAiCICA6A0EQBAHRGQiCIAiIzkAQBEFAdAaCIAgC8H9b0ppRCyK0mQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,Z,'b-', label = \"Normal c.d.f=blue\")\n",
    "plt.xlabel(\"Proportion of agents rioting (r)\")\n",
    "plt.ylabel(\"Proportion of agents willing to riot (given r)\")\n",
    "plt.ylim([ymin,ymax])\n",
    "plt.plot(X,X, color='black', linestyle='-',linewidth=1, \n",
    "         label = \"45 degree line=black\")# plot 45 degree line\n",
    "plt.plot(X_List,Y_List, linestyle='-',linewidth=1,\n",
    "         color=\"red\", label = \"Cobweb=red\")  # plot the cobweb diagram                          \n",
    "plt.legend(fontsize = 12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:01:18.282261Z",
     "start_time": "2020-12-19T03:01:18.275385Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_threshold_model(Mean, Standard_Deviation, Starting_Point, Max_Iterations):\n",
    "    # SETTINGS HERE\n",
    "    # Mean\t\t    = 0.25\t# the mean of the (normal) distribution of thresholds\t\n",
    "    # Standard_Deviation  = 0.15\t# the standard deviation of the normal distribution\n",
    "    # Starting_Point\t    = 0.13\t# the starting point of the cobweb diagram \n",
    "    # Max_Iterations\t    = 30      \t# the number of iterations for the cobweb diagram \n",
    "    X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "    Z = norm.cdf(X, Mean, Standard_Deviation)\n",
    "    X_List=[] # prepare a list to collect the x-coordinate data \n",
    "    Y_List=[] # prepare a list to collect the y-coordinate data \n",
    "    x_point=Starting_Point  # the x coordinate of the second point is the same as the starting point \n",
    "    for i in range(Max_Iterations):\n",
    "        y_point = norm.cdf(x_point, Mean, Standard_Deviation)\n",
    "        X_List.append(x_point) # record the x coordinate\n",
    "        X_List.append(y_point) # the x coordinate of the point on 45 degree line\n",
    "        Y_List.append(y_point) # record the y coordinate\n",
    "        Y_List.append(y_point) # the y coordinate of the point on 45 degree line\n",
    "        x_point = y_point\n",
    "    plt.plot(X,Z,'b-', label = \"Normal c.d.f=blue\")\n",
    "    plt.xlabel(\"Proportion of agents rioting (r)\")\n",
    "    plt.ylabel(\"Proportion of agents willing to riot (given r)\")\n",
    "    plt.ylim([ymin,ymax])\n",
    "    plt.plot(X,X, color='black', linestyle='-',linewidth=1, \n",
    "             label = \"45 degree line=black\")# plot 45 degree line\n",
    "    plt.plot(X_List,Y_List, linestyle='-',linewidth=1,\n",
    "             color=\"red\", label = \"Cobweb=red\")  # plot the cobweb diagram                          \n",
    "    plt.legend(fontsize = 12)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:36:50.418224Z",
     "start_time": "2020-12-19T03:36:50.410149Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_threshold_model(Mean, Standard_Deviation, Starting_Point, Max_Iterations):\n",
    "    # SETTINGS HERE\n",
    "    # Mean\t\t    = 0.25\t# the mean of the (normal) distribution of thresholds\t\n",
    "    # Standard_Deviation  = 0.15\t# the standard deviation of the normal distribution\n",
    "    # Starting_Point\t    = 0.13\t# the starting point of the cobweb diagram \n",
    "    # Max_Iterations\t    = 30      \t# the number of iterations for the cobweb diagram \n",
    "    X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "    Z = norm.cdf(X, Mean, Standard_Deviation)\n",
    "    X_List=[] # prepare a list to collect the x-coordinate data \n",
    "    Y_List=[] # prepare a list to collect the y-coordinate data \n",
    "    x_point=Starting_Point  # the x coordinate of the second point is the same as the starting point \n",
    "    for i in range(Max_Iterations):\n",
    "        y_point = norm.cdf(x_point, Mean, Standard_Deviation)\n",
    "        X_List.append(x_point) # record the x coordinate\n",
    "        X_List.append(y_point) # the x coordinate of the point on 45 degree line\n",
    "        Y_List.append(y_point) # record the y coordinate\n",
    "        Y_List.append(y_point) # the y coordinate of the point on 45 degree line\n",
    "        x_point = y_point\n",
    "    plt.plot(X,Z,'b-', label = \"正态分布的累积概率分布函数\")\n",
    "    plt.xlabel(\"参与者比例  r(t)\")\n",
    "    plt.ylabel(\"累积概率分布函数 F[r(t)]\")\n",
    "    ymin = min(min(X), min(Z))\n",
    "    ymax = max(max(X), max(Z)) \n",
    "    plt.ylim([ymin,ymax])\n",
    "    plt.plot(X,X, color='black', linestyle='-',linewidth=1, \n",
    "             label = \"45度线\")# plot 45 degree line\n",
    "    plt.plot(X_List,Y_List, linestyle='--',linewidth=1,\n",
    "             color=\"red\", label = \"蛛网线\")  # plot the cobweb diagram                          \n",
    "    plt.legend(fontsize = 12)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T04:03:23.778494Z",
     "start_time": "2020-12-19T04:03:23.574709Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,5))\n",
    "plot_threshold_model(0.25, 0.1, 0.15, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:55:49.361094Z",
     "start_time": "2020-12-19T03:55:49.204315Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,5))\n",
    "plot_threshold_model(0.2, 1, 0.01, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-19T03:47:34.041542Z",
     "start_time": "2020-12-19T03:47:33.887870Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,5))\n",
    "plot_threshold_model(0.25, 0.1, 0.1, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T08:41:51.444934Z",
     "start_time": "2020-12-17T08:41:51.288120Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model(0.25, 0.122, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T09:06:23.878190Z",
     "start_time": "2020-12-17T09:06:23.721085Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model(0.25, 0.13, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T09:06:31.511355Z",
     "start_time": "2020-12-17T09:06:31.353880Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model(0.2, 0.2, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T09:06:37.079720Z",
     "start_time": "2020-12-17T09:06:36.921797Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model(0.5, 0.5, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T09:06:54.006308Z",
     "start_time": "2020-12-17T09:06:53.818911Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model(0.5, 1, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T08:44:44.835941Z",
     "start_time": "2020-12-17T08:44:44.824771Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999114264317778"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def equilibrium_threshold_model(Mean, Standard_Deviation, Starting_Point, Max_Iterations):\n",
    "    # SETTINGS HERE\n",
    "    # Mean\t\t    = 0.25\t# the mean of the (normal) distribution of thresholds\t\n",
    "    # Standard_Deviation  = 0.15\t# the standard deviation of the normal distribution\n",
    "    # Starting_Point\t    = 0.13\t# the starting point of the cobweb diagram \n",
    "    # Max_Iterations\t    = 30      \t# the number of iterations for the cobweb diagram \n",
    "    X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "    Z = norm.cdf(X, Mean, Standard_Deviation)\n",
    "    X_List=[] # prepare a list to collect the x-coordinate data \n",
    "    Y_List=[] # prepare a list to collect the y-coordinate data \n",
    "    x_point=Starting_Point  # the x coordinate of the second point is the same as the starting point \n",
    "    for i in range(Max_Iterations):\n",
    "        y_point = norm.cdf(x_point, Mean, Standard_Deviation)\n",
    "        X_List.append(x_point) # record the x coordinate\n",
    "        X_List.append(y_point) # the x coordinate of the point on 45 degree line\n",
    "        Y_List.append(y_point) # record the y coordinate\n",
    "        Y_List.append(y_point) # the y coordinate of the point on 45 degree line\n",
    "        x_point = y_point\n",
    "    return y_point\n",
    "        \n",
    "\n",
    "equilibrium_threshold_model(0.25, 0.2, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T08:45:16.895791Z",
     "start_time": "2020-12-17T08:45:16.888319Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05458552813157679"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "equilibrium_threshold_model(0.25, 0.122, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T08:45:40.983014Z",
     "start_time": "2020-12-17T08:45:40.975492Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999994200699"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "equilibrium_threshold_model(0.25, 0.123, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T08:56:06.979022Z",
     "start_time": "2020-12-17T08:56:06.972083Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6585737517030495"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "equilibrium_threshold_model(0.25, 1, 0.05, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T09:04:12.879580Z",
     "start_time": "2020-12-17T09:04:12.791579Z"
    }
   },
   "outputs": [],
   "source": [
    "sigmas = [0.01, 0.1 ,0.12 ,0.122, 0.123, 0.125, 0.130, 0.2, 0.3, 0.4,\n",
    "          0.5, 0.6, 0.7, 0.8, 0.9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 100, 1000]\n",
    "re = [equilibrium_threshold_model(0.25, i, 0.05, 30) for i in sigmas]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-12-17T09:10:50.821304Z",
     "start_time": "2020-12-17T09:10:50.402800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(sigmas, re, 'b-o')\n",
    "plt.axhline(y=0.5,ls=\"-\",c=\"grey\")  #添加水平直线\n",
    "plt.axvline(x=0.122,ls=\":\",c=\"grey\")#添加垂直直线\n",
    "plt.xlabel('$\\sigma$', fontsize = 20)\n",
    "plt.ylabel('$r_{e}$', fontsize = 20)\n",
    "plt.xscale('log')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Power Law Distribution\n",
    "\n",
    "![image.png](attachment:image.png)\n",
    "\n",
    "https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.powerlaw.html#scipy.stats.powerlaw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-09T04:59:02.626788Z",
     "start_time": "2020-08-09T04:59:02.500315Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import powerlaw\n",
    "\n",
    "X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "a = 0.5\n",
    "Z = powerlaw.cdf(X, a)\n",
    "plt.plot(X, Z, 'r-')\n",
    "# plt.xscale('log')\n",
    "# plt.yscale('log')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-09T05:03:53.299495Z",
     "start_time": "2020-08-09T05:03:53.291747Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_threshold_model_powerlaw(a, Starting_Point, Max_Iterations):\n",
    "    from scipy.stats import powerlaw\n",
    "    # SETTINGS HERE\n",
    "    # Mean\t\t    = 0.25\t# the mean of the (normal) distribution of thresholds\t\n",
    "    # Standard_Deviation  = 0.15\t# the standard deviation of the normal distribution\n",
    "    # Starting_Point\t    = 0.13\t# the starting point of the cobweb diagram \n",
    "    # Max_Iterations\t    = 30      \t# the number of iterations for the cobweb diagram \n",
    "    X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "    Z = powerlaw.cdf(X, a)\n",
    "    X_List=[] # prepare a list to collect the x-coordinate data \n",
    "    Y_List=[] # prepare a list to collect the y-coordinate data \n",
    "    x_point=Starting_Point  # the x coordinate of the second point is the same as the starting point \n",
    "    for i in range(Max_Iterations):\n",
    "        y_point = powerlaw.cdf(x_point, a)\n",
    "        X_List.append(x_point) # record the x coordinate\n",
    "        X_List.append(y_point) # the x coordinate of the point on 45 degree line\n",
    "        Y_List.append(y_point) # record the y coordinate\n",
    "        Y_List.append(y_point) # the y coordinate of the point on 45 degree line\n",
    "        x_point = y_point\n",
    "    plt.plot(X,Z,'b-', label = \"Powerlaw c.d.f=blue\")\n",
    "    plt.xlabel(\"Proportion of agents rioting (r)\")\n",
    "    plt.ylabel(\"Proportion of agents willing to riot (given r)\")\n",
    "    plt.ylim([ymin,ymax])\n",
    "    plt.plot(X,X, color='black', linestyle='-',linewidth=1, \n",
    "             label = \"45 degree line=black\")# plot 45 degree line\n",
    "    plt.plot(X_List,Y_List, linestyle='-',linewidth=1,\n",
    "             color=\"red\", label = \"Cobweb=red\")  # plot the cobweb diagram                          \n",
    "    plt.legend(fontsize = 12)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-09T05:03:54.248613Z",
     "start_time": "2020-08-09T05:03:54.082982Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model_powerlaw(0.5, 0.13, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-09T05:03:55.047720Z",
     "start_time": "2020-08-09T05:03:54.890947Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model_powerlaw(1.2, 0.13, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-09T05:10:46.376822Z",
     "start_time": "2020-08-09T05:10:46.253628Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import logistic\n",
    "\n",
    "X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "Z = logistic.cdf(X)\n",
    "plt.plot(X, Z, 'r-')\n",
    "# plt.xscale('log')\n",
    "# plt.yscale('log')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-09T05:10:47.685042Z",
     "start_time": "2020-08-09T05:10:47.677058Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_threshold_model_logistic(Starting_Point, Max_Iterations):\n",
    "    from scipy.stats import logistic\n",
    "    # SETTINGS HERE\n",
    "    # Mean\t\t    = 0.25\t# the mean of the (normal) distribution of thresholds\t\n",
    "    # Standard_Deviation  = 0.15\t# the standard deviation of the normal distribution\n",
    "    # Starting_Point\t    = 0.13\t# the starting point of the cobweb diagram \n",
    "    # Max_Iterations\t    = 30      \t# the number of iterations for the cobweb diagram \n",
    "    X = np.linspace(0, 1, 100) # 100x1 linearly-spaced vector in [0,1]\n",
    "    Z = logistic.cdf(X)\n",
    "    X_List=[] # prepare a list to collect the x-coordinate data \n",
    "    Y_List=[] # prepare a list to collect the y-coordinate data \n",
    "    x_point=Starting_Point  # the x coordinate of the second point is the same as the starting point \n",
    "    for i in range(Max_Iterations):\n",
    "        y_point = logistic.cdf(x_point)\n",
    "        X_List.append(x_point) # record the x coordinate\n",
    "        X_List.append(y_point) # the x coordinate of the point on 45 degree line\n",
    "        Y_List.append(y_point) # record the y coordinate\n",
    "        Y_List.append(y_point) # the y coordinate of the point on 45 degree line\n",
    "        x_point = y_point\n",
    "    plt.plot(X,Z,'b-', label = \"Pareto c.d.f=blue\")\n",
    "    plt.xlabel(\"Proportion of agents rioting (r)\")\n",
    "    plt.ylabel(\"Proportion of agents willing to riot (given r)\")\n",
    "    plt.ylim([ymin,ymax])\n",
    "    plt.plot(X,X, color='black', linestyle='-',linewidth=1, \n",
    "             label = \"45 degree line=black\")# plot 45 degree line\n",
    "    plt.plot(X_List,Y_List, linestyle='-',linewidth=1,\n",
    "             color=\"red\", label = \"Cobweb=red\")  # plot the cobweb diagram                          \n",
    "    plt.legend(fontsize = 12)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-09T05:11:05.319409Z",
     "start_time": "2020-08-09T05:11:05.165132Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_threshold_model_logistic(0.03, 30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": false,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
